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Simplifying 13q + -8q + -4q + -1q + 2q + 1 = 19 Reorder the terms: 1 + 13q + -8q + -4q + -1q + 2q = 19 Combine like terms: 13q + -8q = 5q 1 + 5q + -4q + -1q + 2q = 19 Combine like terms: 5q + -4q = 1q 1 + 1q + -1q + 2q = 19 Combine like terms: 1q + -1q = 0 1 + 0 + 2q = 19 1 + 2q = 19 Solving 1 + 2q = 19 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2q = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2q = 19 + -1 2q = 19 + -1 Combine like terms: 19 + -1 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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