8z+15-2z=4(z-5)

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Solution for 8z+15-2z=4(z-5) equation: 


Simplifying
8z + 15 + -2z = 4(z + -5)

Reorder the terms:
15 + 8z + -2z = 4(z + -5)

Combine like terms: 8z + -2z = 6z
15 + 6z = 4(z + -5)

Reorder the terms:
15 + 6z = 4(-5 + z)
15 + 6z = (-5 * 4 + z * 4)
15 + 6z = (-20 + 4z)

Solving
15 + 6z = -20 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
15 + 6z + -4z = -20 + 4z + -4z

Combine like terms: 6z + -4z = 2z
15 + 2z = -20 + 4z + -4z

Combine like terms: 4z + -4z = 0
15 + 2z = -20 + 0
15 + 2z = -20

Add '-15' to each side of the equation.
15 + -15 + 2z = -20 + -15

Combine like terms: 15 + -15 = 0
0 + 2z = -20 + -15
2z = -20 + -15

Combine like terms: -20 + -15 = -35
2z = -35

Divide each side by '2'.
z = -17.5

Simplifying
z = -17.5

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