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Simplifying 15 = 2(q + 4) + 3 Reorder the terms: 15 = 2(4 + q) + 3 15 = (4 * 2 + q * 2) + 3 15 = (8 + 2q) + 3 Reorder the terms: 15 = 8 + 3 + 2q Combine like terms: 8 + 3 = 11 15 = 11 + 2q Solving 15 = 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. 15 + -2q = 11 + 2q + -2q Combine like terms: 2q + -2q = 0 15 + -2q = 11 + 0 15 + -2q = 11 Add '-15' to each side of the equation. 15 + -15 + -2q = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -2q = 11 + -15 -2q = 11 + -15 Combine like terms: 11 + -15 = -4 -2q = -4 Divide each side by '-2'. q = 2 Simplifying q = 2
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