-2-(-8z-7)=-6(8z-5)+3

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Solution for -2-(-8z-7)=-6(8z-5)+3 equation: 


Simplifying
-2 + -1(-8z + -7) = -6(8z + -5) + 3

Reorder the terms:
-2 + -1(-7 + -8z) = -6(8z + -5) + 3
-2 + (-7 * -1 + -8z * -1) = -6(8z + -5) + 3
-2 + (7 + 8z) = -6(8z + -5) + 3

Combine like terms: -2 + 7 = 5
5 + 8z = -6(8z + -5) + 3

Reorder the terms:
5 + 8z = -6(-5 + 8z) + 3
5 + 8z = (-5 * -6 + 8z * -6) + 3
5 + 8z = (30 + -48z) + 3

Reorder the terms:
5 + 8z = 30 + 3 + -48z

Combine like terms: 30 + 3 = 33
5 + 8z = 33 + -48z

Solving
5 + 8z = 33 + -48z

Solving for variable 'z'.

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

Add '48z' to each side of the equation.
5 + 8z + 48z = 33 + -48z + 48z

Combine like terms: 8z + 48z = 56z
5 + 56z = 33 + -48z + 48z

Combine like terms: -48z + 48z = 0
5 + 56z = 33 + 0
5 + 56z = 33

Add '-5' to each side of the equation.
5 + -5 + 56z = 33 + -5

Combine like terms: 5 + -5 = 0
0 + 56z = 33 + -5
56z = 33 + -5

Combine like terms: 33 + -5 = 28
56z = 28

Divide each side by '56'.
z = 0.5

Simplifying
z = 0.5

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