Solve for Z X=4/7(Y+Z)

Math
X=47(Y+Z)
Rewrite the equation as 47⋅(Y+Z)=X.
47⋅(Y+Z)=X
Multiply both sides of the equation by 74.
74⋅47⋅(Y+Z)=74X
Simplify both sides of the equation.
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Simplify 74⋅47⋅(Y+Z).
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Cancel the common factor of 7.
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Cancel the common factor.
74⋅47⋅(Y+Z)=74X
Rewrite the expression.
14⋅4⋅(Y+Z)=74X
14⋅4⋅(Y+Z)=74X
Cancel the common factor of 4.
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Cancel the common factor.
14⋅4⋅(Y+Z)=74X
Rewrite the expression.
1⋅(Y+Z)=74X
1⋅(Y+Z)=74X
Multiply Y+Z by 1.
Y+Z=74X
Y+Z=74X
Combine 74 and X.
Y+Z=7X4
Y+Z=7X4
Subtract Y from both sides of the equation.
Z=7X4-Y
Solve for Z X=4/7(Y+Z)

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