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Simplifying 3q + 6 + 2q + 3 = 13q + 19 + -3q Reorder the terms: 6 + 3 + 3q + 2q = 13q + 19 + -3q Combine like terms: 6 + 3 = 9 9 + 3q + 2q = 13q + 19 + -3q Combine like terms: 3q + 2q = 5q 9 + 5q = 13q + 19 + -3q Reorder the terms: 9 + 5q = 19 + 13q + -3q Combine like terms: 13q + -3q = 10q 9 + 5q = 19 + 10q Solving 9 + 5q = 19 + 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 + 5q + -10q = 19 + 10q + -10q Combine like terms: 5q + -10q = -5q 9 + -5q = 19 + 10q + -10q Combine like terms: 10q + -10q = 0 9 + -5q = 19 + 0 9 + -5q = 19 Add '-9' to each side of the equation. 9 + -9 + -5q = 19 + -9 Combine like terms: 9 + -9 = 0 0 + -5q = 19 + -9 -5q = 19 + -9 Combine like terms: 19 + -9 = 10 -5q = 10 Divide each side by '-5'. q = -2 Simplifying q = -2
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