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Simplifying 3(q + 3) = 1 + -1q Reorder the terms: 3(3 + q) = 1 + -1q (3 * 3 + q * 3) = 1 + -1q (9 + 3q) = 1 + -1q Solving 9 + 3q = 1 + -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. 9 + 3q + q = 1 + -1q + q Combine like terms: 3q + q = 4q 9 + 4q = 1 + -1q + q Combine like terms: -1q + q = 0 9 + 4q = 1 + 0 9 + 4q = 1 Add '-9' to each side of the equation. 9 + -9 + 4q = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4q = 1 + -9 4q = 1 + -9 Combine like terms: 1 + -9 = -8 4q = -8 Divide each side by '4'. q = -2 Simplifying q = -2
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