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Simplifying 9q + 65 = 3q + 31 Reorder the terms: 65 + 9q = 3q + 31 Reorder the terms: 65 + 9q = 31 + 3q Solving 65 + 9q = 31 + 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. 65 + 9q + -3q = 31 + 3q + -3q Combine like terms: 9q + -3q = 6q 65 + 6q = 31 + 3q + -3q Combine like terms: 3q + -3q = 0 65 + 6q = 31 + 0 65 + 6q = 31 Add '-65' to each side of the equation. 65 + -65 + 6q = 31 + -65 Combine like terms: 65 + -65 = 0 0 + 6q = 31 + -65 6q = 31 + -65 Combine like terms: 31 + -65 = -34 6q = -34 Divide each side by '6'. q = -5.666666667 Simplifying q = -5.666666667
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