-4-8(3z-7)=-7(2z-2)-6

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Solution for -4-8(3z-7)=-7(2z-2)-6 equation:


Simplifying
-4 + -8(3z + -7) = -7(2z + -2) + -6

Reorder the terms:
-4 + -8(-7 + 3z) = -7(2z + -2) + -6
-4 + (-7 * -8 + 3z * -8) = -7(2z + -2) + -6
-4 + (56 + -24z) = -7(2z + -2) + -6

Combine like terms: -4 + 56 = 52
52 + -24z = -7(2z + -2) + -6

Reorder the terms:
52 + -24z = -7(-2 + 2z) + -6
52 + -24z = (-2 * -7 + 2z * -7) + -6
52 + -24z = (14 + -14z) + -6

Reorder the terms:
52 + -24z = 14 + -6 + -14z

Combine like terms: 14 + -6 = 8
52 + -24z = 8 + -14z

Solving
52 + -24z = 8 + -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.
52 + -24z + 14z = 8 + -14z + 14z

Combine like terms: -24z + 14z = -10z
52 + -10z = 8 + -14z + 14z

Combine like terms: -14z + 14z = 0
52 + -10z = 8 + 0
52 + -10z = 8

Add '-52' to each side of the equation.
52 + -52 + -10z = 8 + -52

Combine like terms: 52 + -52 = 0
0 + -10z = 8 + -52
-10z = 8 + -52

Combine like terms: 8 + -52 = -44
-10z = -44

Divide each side by '-10'.
z = 4.4

Simplifying
z = 4.4

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