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Simplifying 9(q + -2) = 3(q + -12) Reorder the terms: 9(-2 + q) = 3(q + -12) (-2 * 9 + q * 9) = 3(q + -12) (-18 + 9q) = 3(q + -12) Reorder the terms: -18 + 9q = 3(-12 + q) -18 + 9q = (-12 * 3 + q * 3) -18 + 9q = (-36 + 3q) Solving -18 + 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. -18 + 9q + -3q = -36 + 3q + -3q Combine like terms: 9q + -3q = 6q -18 + 6q = -36 + 3q + -3q Combine like terms: 3q + -3q = 0 -18 + 6q = -36 + 0 -18 + 6q = -36 Add '18' to each side of the equation. -18 + 18 + 6q = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 6q = -36 + 18 6q = -36 + 18 Combine like terms: -36 + 18 = -18 6q = -18 Divide each side by '6'. q = -3 Simplifying q = -3
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