Solve for z (z+17)/21=48/36

Math
z+1721=4836
Multiply both sides of the equation by 21.
21⋅z+1721=21⋅4836
Simplify both sides of the equation.
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Cancel the common factor of 21.
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Cancel the common factor.
21⋅z+1721=21⋅4836
Rewrite the expression.
z+17=21⋅4836
z+17=21⋅4836
Simplify 21⋅4836.
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Cancel the common factor of 3.
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Factor 3 out of 21.
z+17=3(7)⋅4836
Factor 3 out of 36.
z+17=3⋅7⋅483⋅12
Cancel the common factor.
z+17=3⋅7⋅483⋅12
Rewrite the expression.
z+17=7⋅4812
z+17=7⋅4812
Combine 7 and 4812.
z+17=7⋅4812
Simplify the expression.
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Multiply 7 by 48.
z+17=33612
Divide 336 by 12.
z+17=28
z+17=28
z+17=28
z+17=28
Move all terms not containing z to the right side of the equation.
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Subtract 17 from both sides of the equation.
z=28-17
Subtract 17 from 28.
z=11
z=11
Solve for z (z+17)/21=48/36

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