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Simplifying 3(q + -8) + 6(q + -12) = 12 Reorder the terms: 3(-8 + q) + 6(q + -12) = 12 (-8 * 3 + q * 3) + 6(q + -12) = 12 (-24 + 3q) + 6(q + -12) = 12 Reorder the terms: -24 + 3q + 6(-12 + q) = 12 -24 + 3q + (-12 * 6 + q * 6) = 12 -24 + 3q + (-72 + 6q) = 12 Reorder the terms: -24 + -72 + 3q + 6q = 12 Combine like terms: -24 + -72 = -96 -96 + 3q + 6q = 12 Combine like terms: 3q + 6q = 9q -96 + 9q = 12 Solving -96 + 9q = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 9q = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 9q = 12 + 96 9q = 12 + 96 Combine like terms: 12 + 96 = 108 9q = 108 Divide each side by '9'. q = 12 Simplifying q = 12
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