-8-2(-8z-5)=7(2z-3)+8

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Solution for -8-2(-8z-5)=7(2z-3)+8 equation: 


Simplifying
-8 + -2(-8z + -5) = 7(2z + -3) + 8

Reorder the terms:
-8 + -2(-5 + -8z) = 7(2z + -3) + 8
-8 + (-5 * -2 + -8z * -2) = 7(2z + -3) + 8
-8 + (10 + 16z) = 7(2z + -3) + 8

Combine like terms: -8 + 10 = 2
2 + 16z = 7(2z + -3) + 8

Reorder the terms:
2 + 16z = 7(-3 + 2z) + 8
2 + 16z = (-3 * 7 + 2z * 7) + 8
2 + 16z = (-21 + 14z) + 8

Reorder the terms:
2 + 16z = -21 + 8 + 14z

Combine like terms: -21 + 8 = -13
2 + 16z = -13 + 14z

Solving
2 + 16z = -13 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
2 + 16z + -14z = -13 + 14z + -14z

Combine like terms: 16z + -14z = 2z
2 + 2z = -13 + 14z + -14z

Combine like terms: 14z + -14z = 0
2 + 2z = -13 + 0
2 + 2z = -13

Add '-2' to each side of the equation.
2 + -2 + 2z = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 2z = -13 + -2
2z = -13 + -2

Combine like terms: -13 + -2 = -15
2z = -15

Divide each side by '2'.
z = -7.5

Simplifying
z = -7.5

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