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Simplifying 13 = 2(q + 2) + 5 Reorder the terms: 13 = 2(2 + q) + 5 13 = (2 * 2 + q * 2) + 5 13 = (4 + 2q) + 5 Reorder the terms: 13 = 4 + 5 + 2q Combine like terms: 4 + 5 = 9 13 = 9 + 2q Solving 13 = 9 + 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. 13 + -2q = 9 + 2q + -2q Combine like terms: 2q + -2q = 0 13 + -2q = 9 + 0 13 + -2q = 9 Add '-13' to each side of the equation. 13 + -13 + -2q = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -2q = 9 + -13 -2q = 9 + -13 Combine like terms: 9 + -13 = -4 -2q = -4 Divide each side by '-2'. q = 2 Simplifying q = 2
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