Solve for z (2z+3)/3+(3z-4)/6=(z-2)/2

Math
Move to the left side of the equation by subtracting it from both sides.
Simplify .
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Simplify each term.
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Split the fraction into multiple fractions.
Reduce the expression by cancelling the common factors.
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine fractions with similar denominators.
Split the fraction into two fractions.
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Divide by .
Move the negative in front of the fraction.
Apply the distributive property.
Multiply by .
Subtract from .
Add and .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Divide by .
Add and .
Find the LCD of the terms in the equation.
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To find the LCD of a set of numbers , find the LCM of the denominators.
Calculate the LCM of first two denominators in the list, and .
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Find the values of the numerical part of each term. Select the largest one, which in this case is . Multiply them together to get the current total. In this case, the current total is .
Current Total =
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
Multiply each term by and simplify.
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Multiply each term in by .
Simplify .
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Simplify each term.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Subtract from .
Multiply by .
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Solve for z (2z+3)/3+(3z-4)/6=(z-2)/2

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