-8(z-1)=-7(z+3)

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Solution for -8(z-1)=-7(z+3) equation:


Simplifying
-8(z + -1) = -7(z + 3)

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

Reorder the terms:
8 + -8z = -7(3 + z)
8 + -8z = (3 * -7 + z * -7)
8 + -8z = (-21 + -7z)

Solving
8 + -8z = -21 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
8 + -8z + 7z = -21 + -7z + 7z

Combine like terms: -8z + 7z = -1z
8 + -1z = -21 + -7z + 7z

Combine like terms: -7z + 7z = 0
8 + -1z = -21 + 0
8 + -1z = -21

Add '-8' to each side of the equation.
8 + -8 + -1z = -21 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = -21 + -8
-1z = -21 + -8

Combine like terms: -21 + -8 = -29
-1z = -29

Divide each side by '-1'.
z = 29

Simplifying
z = 29

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