2(3z-8)-4(z-6)=

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Solution for 2(3z-8)-4(z-6)= equation:


Simplifying
2(3z + -8) + -4(z + -6) = 0

Reorder the terms:
2(-8 + 3z) + -4(z + -6) = 0
(-8 * 2 + 3z * 2) + -4(z + -6) = 0
(-16 + 6z) + -4(z + -6) = 0

Reorder the terms:
-16 + 6z + -4(-6 + z) = 0
-16 + 6z + (-6 * -4 + z * -4) = 0
-16 + 6z + (24 + -4z) = 0

Reorder the terms:
-16 + 24 + 6z + -4z = 0

Combine like terms: -16 + 24 = 8
8 + 6z + -4z = 0

Combine like terms: 6z + -4z = 2z
8 + 2z = 0

Solving
8 + 2z = 0

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + 2z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2z = 0 + -8
2z = 0 + -8

Combine like terms: 0 + -8 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4

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