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Simplifying 9(q + -2) = 3(2q + 6) Reorder the terms: 9(-2 + q) = 3(2q + 6) (-2 * 9 + q * 9) = 3(2q + 6) (-18 + 9q) = 3(2q + 6) Reorder the terms: -18 + 9q = 3(6 + 2q) -18 + 9q = (6 * 3 + 2q * 3) -18 + 9q = (18 + 6q) Solving -18 + 9q = 18 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -18 + 9q + -6q = 18 + 6q + -6q Combine like terms: 9q + -6q = 3q -18 + 3q = 18 + 6q + -6q Combine like terms: 6q + -6q = 0 -18 + 3q = 18 + 0 -18 + 3q = 18 Add '18' to each side of the equation. -18 + 18 + 3q = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 3q = 18 + 18 3q = 18 + 18 Combine like terms: 18 + 18 = 36 3q = 36 Divide each side by '3'. q = 12 Simplifying q = 12
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