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Simplifying 5q + 3 = 7q + 9 Reorder the terms: 3 + 5q = 7q + 9 Reorder the terms: 3 + 5q = 9 + 7q Solving 3 + 5q = 9 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 3 + 5q + -7q = 9 + 7q + -7q Combine like terms: 5q + -7q = -2q 3 + -2q = 9 + 7q + -7q Combine like terms: 7q + -7q = 0 3 + -2q = 9 + 0 3 + -2q = 9 Add '-3' to each side of the equation. 3 + -3 + -2q = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -2q = 9 + -3 -2q = 9 + -3 Combine like terms: 9 + -3 = 6 -2q = 6 Divide each side by '-2'. q = -3 Simplifying q = -3
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