5+8(-2z+1)=-2(2z+1)+3

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Solution for 5+8(-2z+1)=-2(2z+1)+3 equation: 


Simplifying
5 + 8(-2z + 1) = -2(2z + 1) + 3

Reorder the terms:
5 + 8(1 + -2z) = -2(2z + 1) + 3
5 + (1 * 8 + -2z * 8) = -2(2z + 1) + 3
5 + (8 + -16z) = -2(2z + 1) + 3

Combine like terms: 5 + 8 = 13
13 + -16z = -2(2z + 1) + 3

Reorder the terms:
13 + -16z = -2(1 + 2z) + 3
13 + -16z = (1 * -2 + 2z * -2) + 3
13 + -16z = (-2 + -4z) + 3

Reorder the terms:
13 + -16z = -2 + 3 + -4z

Combine like terms: -2 + 3 = 1
13 + -16z = 1 + -4z

Solving
13 + -16z = 1 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
13 + -16z + 4z = 1 + -4z + 4z

Combine like terms: -16z + 4z = -12z
13 + -12z = 1 + -4z + 4z

Combine like terms: -4z + 4z = 0
13 + -12z = 1 + 0
13 + -12z = 1

Add '-13' to each side of the equation.
13 + -13 + -12z = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -12z = 1 + -13
-12z = 1 + -13

Combine like terms: 1 + -13 = -12
-12z = -12

Divide each side by '-12'.
z = 1

Simplifying
z = 1

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