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Simplifying 5 + 3(9 + -4) = 2(q + 1) Combine like terms: 9 + -4 = 5 5 + 3(5) = 2(q + 1) Multiply 3 * 5 5 + 15 = 2(q + 1) Combine like terms: 5 + 15 = 20 20 = 2(q + 1) Reorder the terms: 20 = 2(1 + q) 20 = (1 * 2 + q * 2) 20 = (2 + 2q) Solving 20 = 2 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 20 + -2q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 20 + -2q = 2 + 0 20 + -2q = 2 Add '-20' to each side of the equation. 20 + -20 + -2q = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -2q = 2 + -20 -2q = 2 + -20 Combine like terms: 2 + -20 = -18 -2q = -18 Divide each side by '-2'. q = 9 Simplifying q = 9
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