7+5(4z+2)=-3(4z-9)-7

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Solution for 7+5(4z+2)=-3(4z-9)-7 equation: 


Simplifying
7 + 5(4z + 2) = -3(4z + -9) + -7

Reorder the terms:
7 + 5(2 + 4z) = -3(4z + -9) + -7
7 + (2 * 5 + 4z * 5) = -3(4z + -9) + -7
7 + (10 + 20z) = -3(4z + -9) + -7

Combine like terms: 7 + 10 = 17
17 + 20z = -3(4z + -9) + -7

Reorder the terms:
17 + 20z = -3(-9 + 4z) + -7
17 + 20z = (-9 * -3 + 4z * -3) + -7
17 + 20z = (27 + -12z) + -7

Reorder the terms:
17 + 20z = 27 + -7 + -12z

Combine like terms: 27 + -7 = 20
17 + 20z = 20 + -12z

Solving
17 + 20z = 20 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
17 + 20z + 12z = 20 + -12z + 12z

Combine like terms: 20z + 12z = 32z
17 + 32z = 20 + -12z + 12z

Combine like terms: -12z + 12z = 0
17 + 32z = 20 + 0
17 + 32z = 20

Add '-17' to each side of the equation.
17 + -17 + 32z = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 32z = 20 + -17
32z = 20 + -17

Combine like terms: 20 + -17 = 3
32z = 3

Divide each side by '32'.
z = 0.09375

Simplifying
z = 0.09375

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