Solve for z (z+3)/44=42/24

Math
z+344=4224
Multiply both sides of the equation by 44.
44⋅z+344=44⋅4224
Simplify both sides of the equation.
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Cancel the common factor of 44.
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Cancel the common factor.
44⋅z+344=44⋅4224
Rewrite the expression.
z+3=44⋅4224
z+3=44⋅4224
Simplify 44⋅4224.
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Cancel the common factor of 4.
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Factor 4 out of 44.
z+3=4(11)⋅4224
Factor 4 out of 24.
z+3=4⋅11⋅424⋅6
Cancel the common factor.
z+3=4⋅11⋅424⋅6
Rewrite the expression.
z+3=11⋅426
z+3=11⋅426
Combine 11 and 426.
z+3=11⋅426
Simplify the expression.
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Multiply 11 by 42.
z+3=4626
Divide 462 by 6.
z+3=77
z+3=77
z+3=77
z+3=77
Move all terms not containing z to the right side of the equation.
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Subtract 3 from both sides of the equation.
z=77-3
Subtract 3 from 77.
z=74
z=74
Solve for z (z+3)/44=42/24

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