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Simplifying 132 = 6(4q + -2) Reorder the terms: 132 = 6(-2 + 4q) 132 = (-2 * 6 + 4q * 6) 132 = (-12 + 24q) Solving 132 = -12 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. 132 + -24q = -12 + 24q + -24q Combine like terms: 24q + -24q = 0 132 + -24q = -12 + 0 132 + -24q = -12 Add '-132' to each side of the equation. 132 + -132 + -24q = -12 + -132 Combine like terms: 132 + -132 = 0 0 + -24q = -12 + -132 -24q = -12 + -132 Combine like terms: -12 + -132 = -144 -24q = -144 Divide each side by '-24'. q = 6 Simplifying q = 6
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