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Simplifying 9(q + -3) = 3(q + -12) Reorder the terms: 9(-3 + q) = 3(q + -12) (-3 * 9 + q * 9) = 3(q + -12) (-27 + 9q) = 3(q + -12) Reorder the terms: -27 + 9q = 3(-12 + q) -27 + 9q = (-12 * 3 + q * 3) -27 + 9q = (-36 + 3q) Solving -27 + 9q = -36 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -27 + 9q + -3q = -36 + 3q + -3q Combine like terms: 9q + -3q = 6q -27 + 6q = -36 + 3q + -3q Combine like terms: 3q + -3q = 0 -27 + 6q = -36 + 0 -27 + 6q = -36 Add '27' to each side of the equation. -27 + 27 + 6q = -36 + 27 Combine like terms: -27 + 27 = 0 0 + 6q = -36 + 27 6q = -36 + 27 Combine like terms: -36 + 27 = -9 6q = -9 Divide each side by '6'. q = -1.5 Simplifying q = -1.5
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