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Simplifying 5q + 9 = 3(q + -5) + 7 Reorder the terms: 9 + 5q = 3(q + -5) + 7 Reorder the terms: 9 + 5q = 3(-5 + q) + 7 9 + 5q = (-5 * 3 + q * 3) + 7 9 + 5q = (-15 + 3q) + 7 Reorder the terms: 9 + 5q = -15 + 7 + 3q Combine like terms: -15 + 7 = -8 9 + 5q = -8 + 3q Solving 9 + 5q = -8 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 9 + 5q + -3q = -8 + 3q + -3q Combine like terms: 5q + -3q = 2q 9 + 2q = -8 + 3q + -3q Combine like terms: 3q + -3q = 0 9 + 2q = -8 + 0 9 + 2q = -8 Add '-9' to each side of the equation. 9 + -9 + 2q = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2q = -8 + -9 2q = -8 + -9 Combine like terms: -8 + -9 = -17 2q = -17 Divide each side by '2'. q = -8.5 Simplifying q = -8.5
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