8-(4z-7)=(5-5z)

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Solution for 8-(4z-7)=(5-5z) equation:


Simplifying
8 + -1(4z + -7) = (5 + -5z)

Reorder the terms:
8 + -1(-7 + 4z) = (5 + -5z)
8 + (-7 * -1 + 4z * -1) = (5 + -5z)
8 + (7 + -4z) = (5 + -5z)

Combine like terms: 8 + 7 = 15
15 + -4z = (5 + -5z)

Remove parenthesis around (5 + -5z)
15 + -4z = 5 + -5z

Solving
15 + -4z = 5 + -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.
15 + -4z + 5z = 5 + -5z + 5z

Combine like terms: -4z + 5z = 1z
15 + 1z = 5 + -5z + 5z

Combine like terms: -5z + 5z = 0
15 + 1z = 5 + 0
15 + 1z = 5

Add '-15' to each side of the equation.
15 + -15 + 1z = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = 5 + -15
1z = 5 + -15

Combine like terms: 5 + -15 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10

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