-6(z+3)+3(4z-7)=5(z-5)+9

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Solution for -6(z+3)+3(4z-7)=5(z-5)+9 equation:


Simplifying
-6(z + 3) + 3(4z + -7) = 5(z + -5) + 9

Reorder the terms:
-6(3 + z) + 3(4z + -7) = 5(z + -5) + 9
(3 * -6 + z * -6) + 3(4z + -7) = 5(z + -5) + 9
(-18 + -6z) + 3(4z + -7) = 5(z + -5) + 9

Reorder the terms:
-18 + -6z + 3(-7 + 4z) = 5(z + -5) + 9
-18 + -6z + (-7 * 3 + 4z * 3) = 5(z + -5) + 9
-18 + -6z + (-21 + 12z) = 5(z + -5) + 9

Reorder the terms:
-18 + -21 + -6z + 12z = 5(z + -5) + 9

Combine like terms: -18 + -21 = -39
-39 + -6z + 12z = 5(z + -5) + 9

Combine like terms: -6z + 12z = 6z
-39 + 6z = 5(z + -5) + 9

Reorder the terms:
-39 + 6z = 5(-5 + z) + 9
-39 + 6z = (-5 * 5 + z * 5) + 9
-39 + 6z = (-25 + 5z) + 9

Reorder the terms:
-39 + 6z = -25 + 9 + 5z

Combine like terms: -25 + 9 = -16
-39 + 6z = -16 + 5z

Solving
-39 + 6z = -16 + 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 + 6z + -5z = -16 + 5z + -5z

Combine like terms: 6z + -5z = 1z
-39 + 1z = -16 + 5z + -5z

Combine like terms: 5z + -5z = 0
-39 + 1z = -16 + 0
-39 + 1z = -16

Add '39' to each side of the equation.
-39 + 39 + 1z = -16 + 39

Combine like terms: -39 + 39 = 0
0 + 1z = -16 + 39
1z = -16 + 39

Combine like terms: -16 + 39 = 23
1z = 23

Divide each side by '1'.
z = 23

Simplifying
z = 23

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