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Simplifying 4(2q + 7) + 3(5 + -1q) = 48 Reorder the terms: 4(7 + 2q) + 3(5 + -1q) = 48 (7 * 4 + 2q * 4) + 3(5 + -1q) = 48 (28 + 8q) + 3(5 + -1q) = 48 28 + 8q + (5 * 3 + -1q * 3) = 48 28 + 8q + (15 + -3q) = 48 Reorder the terms: 28 + 15 + 8q + -3q = 48 Combine like terms: 28 + 15 = 43 43 + 8q + -3q = 48 Combine like terms: 8q + -3q = 5q 43 + 5q = 48 Solving 43 + 5q = 48 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 5q = 48 + -43 Combine like terms: 43 + -43 = 0 0 + 5q = 48 + -43 5q = 48 + -43 Combine like terms: 48 + -43 = 5 5q = 5 Divide each side by '5'. q = 1 Simplifying q = 1
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