-7(Z-1)=-6(Z+7)

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Solution for -7(Z-1)=-6(Z+7) equation: 


Simplifying
-7(Z + -1) = -6(Z + 7)

Reorder the terms:
-7(-1 + Z) = -6(Z + 7)
(-1 * -7 + Z * -7) = -6(Z + 7)
(7 + -7Z) = -6(Z + 7)

Reorder the terms:
7 + -7Z = -6(7 + Z)
7 + -7Z = (7 * -6 + Z * -6)
7 + -7Z = (-42 + -6Z)

Solving
7 + -7Z = -42 + -6Z

Solving for variable 'Z'.

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

Add '6Z' to each side of the equation.
7 + -7Z + 6Z = -42 + -6Z + 6Z

Combine like terms: -7Z + 6Z = -1Z
7 + -1Z = -42 + -6Z + 6Z

Combine like terms: -6Z + 6Z = 0
7 + -1Z = -42 + 0
7 + -1Z = -42

Add '-7' to each side of the equation.
7 + -7 + -1Z = -42 + -7

Combine like terms: 7 + -7 = 0
0 + -1Z = -42 + -7
-1Z = -42 + -7

Combine like terms: -42 + -7 = -49
-1Z = -49

Divide each side by '-1'.
Z = 49

Simplifying
Z = 49

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