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Simplifying -10q + 9 = 10q + -31 Reorder the terms: 9 + -10q = 10q + -31 Reorder the terms: 9 + -10q = -31 + 10q Solving 9 + -10q = -31 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 9 + -10q + -10q = -31 + 10q + -10q Combine like terms: -10q + -10q = -20q 9 + -20q = -31 + 10q + -10q Combine like terms: 10q + -10q = 0 9 + -20q = -31 + 0 9 + -20q = -31 Add '-9' to each side of the equation. 9 + -9 + -20q = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -20q = -31 + -9 -20q = -31 + -9 Combine like terms: -31 + -9 = -40 -20q = -40 Divide each side by '-20'. q = 2 Simplifying q = 2
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