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

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


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

Reorder the terms:
-4 + (6 + -7z) = -4(-2z + 8) + -4

Remove parenthesis around (6 + -7z)
-4 + 6 + -7z = -4(-2z + 8) + -4

Combine like terms: -4 + 6 = 2
2 + -7z = -4(-2z + 8) + -4

Reorder the terms:
2 + -7z = -4(8 + -2z) + -4
2 + -7z = (8 * -4 + -2z * -4) + -4
2 + -7z = (-32 + 8z) + -4

Reorder the terms:
2 + -7z = -32 + -4 + 8z

Combine like terms: -32 + -4 = -36
2 + -7z = -36 + 8z

Solving
2 + -7z = -36 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
2 + -7z + -8z = -36 + 8z + -8z

Combine like terms: -7z + -8z = -15z
2 + -15z = -36 + 8z + -8z

Combine like terms: 8z + -8z = 0
2 + -15z = -36 + 0
2 + -15z = -36

Add '-2' to each side of the equation.
2 + -2 + -15z = -36 + -2

Combine like terms: 2 + -2 = 0
0 + -15z = -36 + -2
-15z = -36 + -2

Combine like terms: -36 + -2 = -38
-15z = -38

Divide each side by '-15'.
z = 2.533333333

Simplifying
z = 2.533333333

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