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Simplifying 3q + 31 = 9q + 65 Reorder the terms: 31 + 3q = 9q + 65 Reorder the terms: 31 + 3q = 65 + 9q Solving 31 + 3q = 65 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 31 + 3q + -9q = 65 + 9q + -9q Combine like terms: 3q + -9q = -6q 31 + -6q = 65 + 9q + -9q Combine like terms: 9q + -9q = 0 31 + -6q = 65 + 0 31 + -6q = 65 Add '-31' to each side of the equation. 31 + -31 + -6q = 65 + -31 Combine like terms: 31 + -31 = 0 0 + -6q = 65 + -31 -6q = 65 + -31 Combine like terms: 65 + -31 = 34 -6q = 34 Divide each side by '-6'. q = -5.666666667 Simplifying q = -5.666666667
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