.33(6z-12)=4(.5x+1)-2

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Solution for .33(6z-12)=4(.5x+1)-2 equation: 


Simplifying
0.33(6z + -12) = 4(0.5x + 1) + -2

Reorder the terms:
0.33(-12 + 6z) = 4(0.5x + 1) + -2
(-12 * 0.33 + 6z * 0.33) = 4(0.5x + 1) + -2
(-3.96 + 1.98z) = 4(0.5x + 1) + -2

Reorder the terms:
-3.96 + 1.98z = 4(1 + 0.5x) + -2
-3.96 + 1.98z = (1 * 4 + 0.5x * 4) + -2
-3.96 + 1.98z = (4 + 2x) + -2

Reorder the terms:
-3.96 + 1.98z = 4 + -2 + 2x

Combine like terms: 4 + -2 = 2
-3.96 + 1.98z = 2 + 2x

Solving
-3.96 + 1.98z = 2 + 2x

Solving for variable 'z'.

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

Add '3.96' to each side of the equation.
-3.96 + 3.96 + 1.98z = 2 + 3.96 + 2x

Combine like terms: -3.96 + 3.96 = 0.00
0.00 + 1.98z = 2 + 3.96 + 2x
1.98z = 2 + 3.96 + 2x

Combine like terms: 2 + 3.96 = 5.96
1.98z = 5.96 + 2x

Divide each side by '1.98'.
z = 3.01010101 + 1.01010101x

Simplifying
z = 3.01010101 + 1.01010101x

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