4(3z-1)=5z+7

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Solution for 4(3z-1)=5z+7 equation:


Simplifying
4(3z + -1) = 5z + 7

Reorder the terms:
4(-1 + 3z) = 5z + 7
(-1 * 4 + 3z * 4) = 5z + 7
(-4 + 12z) = 5z + 7

Reorder the terms:
-4 + 12z = 7 + 5z

Solving
-4 + 12z = 7 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
-4 + 12z + -5z = 7 + 5z + -5z

Combine like terms: 12z + -5z = 7z
-4 + 7z = 7 + 5z + -5z

Combine like terms: 5z + -5z = 0
-4 + 7z = 7 + 0
-4 + 7z = 7

Add '4' to each side of the equation.
-4 + 4 + 7z = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 7z = 7 + 4
7z = 7 + 4

Combine like terms: 7 + 4 = 11
7z = 11

Divide each side by '7'.
z = 1.571428571

Simplifying
z = 1.571428571

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