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Simplifying 5 = 2(q + 4) + 3 Reorder the terms: 5 = 2(4 + q) + 3 5 = (4 * 2 + q * 2) + 3 5 = (8 + 2q) + 3 Reorder the terms: 5 = 8 + 3 + 2q Combine like terms: 8 + 3 = 11 5 = 11 + 2q Solving 5 = 11 + 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. 5 + -2q = 11 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + -2q = 11 + 0 5 + -2q = 11 Add '-5' to each side of the equation. 5 + -5 + -2q = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 11 + -5 -2q = 11 + -5 Combine like terms: 11 + -5 = 6 -2q = 6 Divide each side by '-2'. q = -3 Simplifying q = -3
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