2(5-4z)-2(4z+8)=z-12

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Solution for 2(5-4z)-2(4z+8)=z-12 equation:


Simplifying
2(5 + -4z) + -2(4z + 8) = z + -12
(5 * 2 + -4z * 2) + -2(4z + 8) = z + -12
(10 + -8z) + -2(4z + 8) = z + -12

Reorder the terms:
10 + -8z + -2(8 + 4z) = z + -12
10 + -8z + (8 * -2 + 4z * -2) = z + -12
10 + -8z + (-16 + -8z) = z + -12

Reorder the terms:
10 + -16 + -8z + -8z = z + -12

Combine like terms: 10 + -16 = -6
-6 + -8z + -8z = z + -12

Combine like terms: -8z + -8z = -16z
-6 + -16z = z + -12

Reorder the terms:
-6 + -16z = -12 + z

Solving
-6 + -16z = -12 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6 + -16z + -1z = -12 + z + -1z

Combine like terms: -16z + -1z = -17z
-6 + -17z = -12 + z + -1z

Combine like terms: z + -1z = 0
-6 + -17z = -12 + 0
-6 + -17z = -12

Add '6' to each side of the equation.
-6 + 6 + -17z = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -17z = -12 + 6
-17z = -12 + 6

Combine like terms: -12 + 6 = -6
-17z = -6

Divide each side by '-17'.
z = 0.3529411765

Simplifying
z = 0.3529411765

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