4(2z-8)-2=4(x-3)+2

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


Simplifying
4(2z + -8) + -2 = 4(x + -3) + 2

Reorder the terms:
4(-8 + 2z) + -2 = 4(x + -3) + 2
(-8 * 4 + 2z * 4) + -2 = 4(x + -3) + 2
(-32 + 8z) + -2 = 4(x + -3) + 2

Reorder the terms:
-32 + -2 + 8z = 4(x + -3) + 2

Combine like terms: -32 + -2 = -34
-34 + 8z = 4(x + -3) + 2

Reorder the terms:
-34 + 8z = 4(-3 + x) + 2
-34 + 8z = (-3 * 4 + x * 4) + 2
-34 + 8z = (-12 + 4x) + 2

Reorder the terms:
-34 + 8z = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
-34 + 8z = -10 + 4x

Solving
-34 + 8z = -10 + 4x

Solving for variable 'z'.

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

Add '34' to each side of the equation.
-34 + 34 + 8z = -10 + 34 + 4x

Combine like terms: -34 + 34 = 0
0 + 8z = -10 + 34 + 4x
8z = -10 + 34 + 4x

Combine like terms: -10 + 34 = 24
8z = 24 + 4x

Divide each side by '8'.
z = 3 + 0.5x

Simplifying
z = 3 + 0.5x

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