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Simplifying -7 + -9 + -1q = 4q + 9 Combine like terms: -7 + -9 = -16 -16 + -1q = 4q + 9 Reorder the terms: -16 + -1q = 9 + 4q Solving -16 + -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. -16 + -1q + -4q = 9 + 4q + -4q Combine like terms: -1q + -4q = -5q -16 + -5q = 9 + 4q + -4q Combine like terms: 4q + -4q = 0 -16 + -5q = 9 + 0 -16 + -5q = 9 Add '16' to each side of the equation. -16 + 16 + -5q = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -5q = 9 + 16 -5q = 9 + 16 Combine like terms: 9 + 16 = 25 -5q = 25 Divide each side by '-5'. q = -5 Simplifying q = -5
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