8z+7=-5z-57

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Solution for 8z+7=-5z-57 equation:


Simplifying
8z + 7 = -5z + -57

Reorder the terms:
7 + 8z = -5z + -57

Reorder the terms:
7 + 8z = -57 + -5z

Solving
7 + 8z = -57 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
7 + 8z + 5z = -57 + -5z + 5z

Combine like terms: 8z + 5z = 13z
7 + 13z = -57 + -5z + 5z

Combine like terms: -5z + 5z = 0
7 + 13z = -57 + 0
7 + 13z = -57

Add '-7' to each side of the equation.
7 + -7 + 13z = -57 + -7

Combine like terms: 7 + -7 = 0
0 + 13z = -57 + -7
13z = -57 + -7

Combine like terms: -57 + -7 = -64
13z = -64

Divide each side by '13'.
z = -4.923076923

Simplifying
z = -4.923076923

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