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Simplifying 5(2 + 5 + q) + -12 = 38 Combine like terms: 2 + 5 = 7 5(7 + q) + -12 = 38 (7 * 5 + q * 5) + -12 = 38 (35 + 5q) + -12 = 38 Reorder the terms: 35 + -12 + 5q = 38 Combine like terms: 35 + -12 = 23 23 + 5q = 38 Solving 23 + 5q = 38 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5q = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 5q = 38 + -23 5q = 38 + -23 Combine like terms: 38 + -23 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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