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

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


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

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

Solving
12 + -4z = 2 + -3x

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + -4z = 2 + -12 + -3x

Combine like terms: 12 + -12 = 0
0 + -4z = 2 + -12 + -3x
-4z = 2 + -12 + -3x

Combine like terms: 2 + -12 = -10
-4z = -10 + -3x

Divide each side by '-4'.
z = 2.5 + 0.75x

Simplifying
z = 2.5 + 0.75x

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