-4(5-4z)=7z+61

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Solution for -4(5-4z)=7z+61 equation:


Simplifying
-4(5 + -4z) = 7z + 61
(5 * -4 + -4z * -4) = 7z + 61
(-20 + 16z) = 7z + 61

Reorder the terms:
-20 + 16z = 61 + 7z

Solving
-20 + 16z = 61 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-20 + 16z + -7z = 61 + 7z + -7z

Combine like terms: 16z + -7z = 9z
-20 + 9z = 61 + 7z + -7z

Combine like terms: 7z + -7z = 0
-20 + 9z = 61 + 0
-20 + 9z = 61

Add '20' to each side of the equation.
-20 + 20 + 9z = 61 + 20

Combine like terms: -20 + 20 = 0
0 + 9z = 61 + 20
9z = 61 + 20

Combine like terms: 61 + 20 = 81
9z = 81

Divide each side by '9'.
z = 9

Simplifying
z = 9

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