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Simplifying 9 = 3(q + 1) Reorder the terms: 9 = 3(1 + q) 9 = (1 * 3 + q * 3) 9 = (3 + 3q) Solving 9 = 3 + 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. 9 + -3q = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 9 + -3q = 3 + 0 9 + -3q = 3 Add '-9' to each side of the equation. 9 + -9 + -3q = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -3q = 3 + -9 -3q = 3 + -9 Combine like terms: 3 + -9 = -6 -3q = -6 Divide each side by '-3'. q = 2 Simplifying q = 2
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