(8z+12)-5=3(z-8)

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Solution for (8z+12)-5=3(z-8) equation:


Simplifying
(8z + 12) + -5 = 3(z + -8)

Reorder the terms:
(12 + 8z) + -5 = 3(z + -8)

Remove parenthesis around (12 + 8z)
12 + 8z + -5 = 3(z + -8)

Reorder the terms:
12 + -5 + 8z = 3(z + -8)

Combine like terms: 12 + -5 = 7
7 + 8z = 3(z + -8)

Reorder the terms:
7 + 8z = 3(-8 + z)
7 + 8z = (-8 * 3 + z * 3)
7 + 8z = (-24 + 3z)

Solving
7 + 8z = -24 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
7 + 8z + -3z = -24 + 3z + -3z

Combine like terms: 8z + -3z = 5z
7 + 5z = -24 + 3z + -3z

Combine like terms: 3z + -3z = 0
7 + 5z = -24 + 0
7 + 5z = -24

Add '-7' to each side of the equation.
7 + -7 + 5z = -24 + -7

Combine like terms: 7 + -7 = 0
0 + 5z = -24 + -7
5z = -24 + -7

Combine like terms: -24 + -7 = -31
5z = -31

Divide each side by '5'.
z = -6.2

Simplifying
z = -6.2

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