-8-(6z-5)=-7(-4z-3)+8

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Solution for -8-(6z-5)=-7(-4z-3)+8 equation:


Simplifying
-8 + -1(6z + -5) = -7(-4z + -3) + 8

Reorder the terms:
-8 + -1(-5 + 6z) = -7(-4z + -3) + 8
-8 + (-5 * -1 + 6z * -1) = -7(-4z + -3) + 8
-8 + (5 + -6z) = -7(-4z + -3) + 8

Combine like terms: -8 + 5 = -3
-3 + -6z = -7(-4z + -3) + 8

Reorder the terms:
-3 + -6z = -7(-3 + -4z) + 8
-3 + -6z = (-3 * -7 + -4z * -7) + 8
-3 + -6z = (21 + 28z) + 8

Reorder the terms:
-3 + -6z = 21 + 8 + 28z

Combine like terms: 21 + 8 = 29
-3 + -6z = 29 + 28z

Solving
-3 + -6z = 29 + 28z

Solving for variable 'z'.

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

Add '-28z' to each side of the equation.
-3 + -6z + -28z = 29 + 28z + -28z

Combine like terms: -6z + -28z = -34z
-3 + -34z = 29 + 28z + -28z

Combine like terms: 28z + -28z = 0
-3 + -34z = 29 + 0
-3 + -34z = 29

Add '3' to each side of the equation.
-3 + 3 + -34z = 29 + 3

Combine like terms: -3 + 3 = 0
0 + -34z = 29 + 3
-34z = 29 + 3

Combine like terms: 29 + 3 = 32
-34z = 32

Divide each side by '-34'.
z = -0.9411764706

Simplifying
z = -0.9411764706

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