-5(z-1)-(1+7z)=-13z

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Solution for -5(z-1)-(1+7z)=-13z equation:


Simplifying
-5(z + -1) + -1(1 + 7z) = -13z

Reorder the terms:
-5(-1 + z) + -1(1 + 7z) = -13z
(-1 * -5 + z * -5) + -1(1 + 7z) = -13z
(5 + -5z) + -1(1 + 7z) = -13z
5 + -5z + (1 * -1 + 7z * -1) = -13z
5 + -5z + (-1 + -7z) = -13z

Reorder the terms:
5 + -1 + -5z + -7z = -13z

Combine like terms: 5 + -1 = 4
4 + -5z + -7z = -13z

Combine like terms: -5z + -7z = -12z
4 + -12z = -13z

Solving
4 + -12z = -13z

Solving for variable 'z'.

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

Add '13z' to each side of the equation.
4 + -12z + 13z = -13z + 13z

Combine like terms: -12z + 13z = 1z
4 + 1z = -13z + 13z

Combine like terms: -13z + 13z = 0
4 + 1z = 0

Add '-4' to each side of the equation.
4 + -4 + 1z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1z = 0 + -4
1z = 0 + -4

Combine like terms: 0 + -4 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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