15=-3(24-z)+2(z-4)

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Solution for 15=-3(24-z)+2(z-4) equation:


Simplifying
15 = -3(24 + -1z) + 2(z + -4)
15 = (24 * -3 + -1z * -3) + 2(z + -4)
15 = (-72 + 3z) + 2(z + -4)

Reorder the terms:
15 = -72 + 3z + 2(-4 + z)
15 = -72 + 3z + (-4 * 2 + z * 2)
15 = -72 + 3z + (-8 + 2z)

Reorder the terms:
15 = -72 + -8 + 3z + 2z

Combine like terms: -72 + -8 = -80
15 = -80 + 3z + 2z

Combine like terms: 3z + 2z = 5z
15 = -80 + 5z

Solving
15 = -80 + 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 + -5z = -80 + 5z + -5z

Combine like terms: 5z + -5z = 0
15 + -5z = -80 + 0
15 + -5z = -80

Add '-15' to each side of the equation.
15 + -15 + -5z = -80 + -15

Combine like terms: 15 + -15 = 0
0 + -5z = -80 + -15
-5z = -80 + -15

Combine like terms: -80 + -15 = -95
-5z = -95

Divide each side by '-5'.
z = 19

Simplifying
z = 19

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