39=-2(22-z)+3(z-4)

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Solution for 39=-2(22-z)+3(z-4) equation:


Simplifying
39 = -2(22 + -1z) + 3(z + -4)
39 = (22 * -2 + -1z * -2) + 3(z + -4)
39 = (-44 + 2z) + 3(z + -4)

Reorder the terms:
39 = -44 + 2z + 3(-4 + z)
39 = -44 + 2z + (-4 * 3 + z * 3)
39 = -44 + 2z + (-12 + 3z)

Reorder the terms:
39 = -44 + -12 + 2z + 3z

Combine like terms: -44 + -12 = -56
39 = -56 + 2z + 3z

Combine like terms: 2z + 3z = 5z
39 = -56 + 5z

Solving
39 = -56 + 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.
39 + -5z = -56 + 5z + -5z

Combine like terms: 5z + -5z = 0
39 + -5z = -56 + 0
39 + -5z = -56

Add '-39' to each side of the equation.
39 + -39 + -5z = -56 + -39

Combine like terms: 39 + -39 = 0
0 + -5z = -56 + -39
-5z = -56 + -39

Combine like terms: -56 + -39 = -95
-5z = -95

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

Simplifying
z = 19

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