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Simplifying 9(q + -9) = 3(q + -12) Reorder the terms: 9(-9 + q) = 3(q + -12) (-9 * 9 + q * 9) = 3(q + -12) (-81 + 9q) = 3(q + -12) Reorder the terms: -81 + 9q = 3(-12 + q) -81 + 9q = (-12 * 3 + q * 3) -81 + 9q = (-36 + 3q) Solving -81 + 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. -81 + 9q + -3q = -36 + 3q + -3q Combine like terms: 9q + -3q = 6q -81 + 6q = -36 + 3q + -3q Combine like terms: 3q + -3q = 0 -81 + 6q = -36 + 0 -81 + 6q = -36 Add '81' to each side of the equation. -81 + 81 + 6q = -36 + 81 Combine like terms: -81 + 81 = 0 0 + 6q = -36 + 81 6q = -36 + 81 Combine like terms: -36 + 81 = 45 6q = 45 Divide each side by '6'. q = 7.5 Simplifying q = 7.5
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