-6z+24=2(4z-9)

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Solution for -6z+24=2(4z-9) equation:


Simplifying
-6z + 24 = 2(4z + -9)

Reorder the terms:
24 + -6z = 2(4z + -9)

Reorder the terms:
24 + -6z = 2(-9 + 4z)
24 + -6z = (-9 * 2 + 4z * 2)
24 + -6z = (-18 + 8z)

Solving
24 + -6z = -18 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
24 + -6z + -8z = -18 + 8z + -8z

Combine like terms: -6z + -8z = -14z
24 + -14z = -18 + 8z + -8z

Combine like terms: 8z + -8z = 0
24 + -14z = -18 + 0
24 + -14z = -18

Add '-24' to each side of the equation.
24 + -24 + -14z = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -14z = -18 + -24
-14z = -18 + -24

Combine like terms: -18 + -24 = -42
-14z = -42

Divide each side by '-14'.
z = 3

Simplifying
z = 3

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