(z+8)-z-(-5-6z)=15

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Solution for (z+8)-z-(-5-6z)=15 equation: 


Simplifying
(z + 8) + -1z + -1(-5 + -6z) = 15

Reorder the terms:
(8 + z) + -1z + -1(-5 + -6z) = 15

Remove parenthesis around (8 + z)
8 + z + -1z + -1(-5 + -6z) = 15
8 + z + -1z + (-5 * -1 + -6z * -1) = 15
8 + z + -1z + (5 + 6z) = 15

Reorder the terms:
8 + 5 + z + -1z + 6z = 15

Combine like terms: 8 + 5 = 13
13 + z + -1z + 6z = 15

Combine like terms: z + -1z = 0
13 + 0 + 6z = 15
13 + 6z = 15

Solving
13 + 6z = 15

Solving for variable 'z'.

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

Add '-13' to each side of the equation.
13 + -13 + 6z = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 6z = 15 + -13
6z = 15 + -13

Combine like terms: 15 + -13 = 2
6z = 2

Divide each side by '6'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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