2*(2-3z)=8-2*(4z+5)

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Solution for 2*(2-3z)=8-2*(4z+5) equation:


Simplifying
2(2 + -3z) = 8 + -2(4z + 5)
(2 * 2 + -3z * 2) = 8 + -2(4z + 5)
(4 + -6z) = 8 + -2(4z + 5)

Reorder the terms:
4 + -6z = 8 + -2(5 + 4z)
4 + -6z = 8 + (5 * -2 + 4z * -2)
4 + -6z = 8 + (-10 + -8z)

Combine like terms: 8 + -10 = -2
4 + -6z = -2 + -8z

Solving
4 + -6z = -2 + -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.
4 + -6z + 8z = -2 + -8z + 8z

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

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

Add '-4' to each side of the equation.
4 + -4 + 2z = -2 + -4

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

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

Divide each side by '2'.
z = -3

Simplifying
z = -3

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