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Simplifying 5 + 3(8 + -4) = 2(q + 1) Combine like terms: 8 + -4 = 4 5 + 3(4) = 2(q + 1) Multiply 3 * 4 5 + 12 = 2(q + 1) Combine like terms: 5 + 12 = 17 17 = 2(q + 1) Reorder the terms: 17 = 2(1 + q) 17 = (1 * 2 + q * 2) 17 = (2 + 2q) Solving 17 = 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. 17 + -2q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 17 + -2q = 2 + 0 17 + -2q = 2 Add '-17' to each side of the equation. 17 + -17 + -2q = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -2q = 2 + -17 -2q = 2 + -17 Combine like terms: 2 + -17 = -15 -2q = -15 Divide each side by '-2'. q = 7.5 Simplifying q = 7.5
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