15=-3(23-z)+3(z-4)

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Solution for 15=-3(23-z)+3(z-4) equation: 


Simplifying
15 = -3(23 + -1z) + 3(z + -4)
15 = (23 * -3 + -1z * -3) + 3(z + -4)
15 = (-69 + 3z) + 3(z + -4)

Reorder the terms:
15 = -69 + 3z + 3(-4 + z)
15 = -69 + 3z + (-4 * 3 + z * 3)
15 = -69 + 3z + (-12 + 3z)

Reorder the terms:
15 = -69 + -12 + 3z + 3z

Combine like terms: -69 + -12 = -81
15 = -81 + 3z + 3z

Combine like terms: 3z + 3z = 6z
15 = -81 + 6z

Solving
15 = -81 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
15 + -6z = -81 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + -6z = -81 + 0
15 + -6z = -81

Add '-15' to each side of the equation.
15 + -15 + -6z = -81 + -15

Combine like terms: 15 + -15 = 0
0 + -6z = -81 + -15
-6z = -81 + -15

Combine like terms: -81 + -15 = -96
-6z = -96

Divide each side by '-6'.
z = 16

Simplifying
z = 16

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