-2(5-2z+1)-4=2(3-z)

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Solution for -2(5-2z+1)-4=2(3-z) equation:


Simplifying
-2(5 + -2z + 1) + -4 = 2(3 + -1z)

Reorder the terms:
-2(5 + 1 + -2z) + -4 = 2(3 + -1z)

Combine like terms: 5 + 1 = 6
-2(6 + -2z) + -4 = 2(3 + -1z)
(6 * -2 + -2z * -2) + -4 = 2(3 + -1z)
(-12 + 4z) + -4 = 2(3 + -1z)

Reorder the terms:
-12 + -4 + 4z = 2(3 + -1z)

Combine like terms: -12 + -4 = -16
-16 + 4z = 2(3 + -1z)
-16 + 4z = (3 * 2 + -1z * 2)
-16 + 4z = (6 + -2z)

Solving
-16 + 4z = 6 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-16 + 4z + 2z = 6 + -2z + 2z

Combine like terms: 4z + 2z = 6z
-16 + 6z = 6 + -2z + 2z

Combine like terms: -2z + 2z = 0
-16 + 6z = 6 + 0
-16 + 6z = 6

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

Combine like terms: -16 + 16 = 0
0 + 6z = 6 + 16
6z = 6 + 16

Combine like terms: 6 + 16 = 22
6z = 22

Divide each side by '6'.
z = 3.666666667

Simplifying
z = 3.666666667

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