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Simplifying 5(q + -3) = 12 + -1q Reorder the terms: 5(-3 + q) = 12 + -1q (-3 * 5 + q * 5) = 12 + -1q (-15 + 5q) = 12 + -1q Solving -15 + 5q = 12 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -15 + 5q + q = 12 + -1q + q Combine like terms: 5q + q = 6q -15 + 6q = 12 + -1q + q Combine like terms: -1q + q = 0 -15 + 6q = 12 + 0 -15 + 6q = 12 Add '15' to each side of the equation. -15 + 15 + 6q = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 6q = 12 + 15 6q = 12 + 15 Combine like terms: 12 + 15 = 27 6q = 27 Divide each side by '6'. q = 4.5 Simplifying q = 4.5
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