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Simplifying -13 + -1q + -9 = 5q + -9 + -1q Reorder the terms: -13 + -9 + -1q = 5q + -9 + -1q Combine like terms: -13 + -9 = -22 -22 + -1q = 5q + -9 + -1q Reorder the terms: -22 + -1q = -9 + 5q + -1q Combine like terms: 5q + -1q = 4q -22 + -1q = -9 + 4q Solving -22 + -1q = -9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -22 + -1q + -4q = -9 + 4q + -4q Combine like terms: -1q + -4q = -5q -22 + -5q = -9 + 4q + -4q Combine like terms: 4q + -4q = 0 -22 + -5q = -9 + 0 -22 + -5q = -9 Add '22' to each side of the equation. -22 + 22 + -5q = -9 + 22 Combine like terms: -22 + 22 = 0 0 + -5q = -9 + 22 -5q = -9 + 22 Combine like terms: -9 + 22 = 13 -5q = 13 Divide each side by '-5'. q = -2.6 Simplifying q = -2.6
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