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Simplifying -5q + 9 = 2q + 23 Reorder the terms: 9 + -5q = 2q + 23 Reorder the terms: 9 + -5q = 23 + 2q Solving 9 + -5q = 23 + 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. 9 + -5q + -2q = 23 + 2q + -2q Combine like terms: -5q + -2q = -7q 9 + -7q = 23 + 2q + -2q Combine like terms: 2q + -2q = 0 9 + -7q = 23 + 0 9 + -7q = 23 Add '-9' to each side of the equation. 9 + -9 + -7q = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -7q = 23 + -9 -7q = 23 + -9 Combine like terms: 23 + -9 = 14 -7q = 14 Divide each side by '-7'. q = -2 Simplifying q = -2
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