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Simplifying (9 + -1q) + 1 = 9q + 14 Remove parenthesis around (9 + -1q) 9 + -1q + 1 = 9q + 14 Reorder the terms: 9 + 1 + -1q = 9q + 14 Combine like terms: 9 + 1 = 10 10 + -1q = 9q + 14 Reorder the terms: 10 + -1q = 14 + 9q Solving 10 + -1q = 14 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 10 + -1q + -9q = 14 + 9q + -9q Combine like terms: -1q + -9q = -10q 10 + -10q = 14 + 9q + -9q Combine like terms: 9q + -9q = 0 10 + -10q = 14 + 0 10 + -10q = 14 Add '-10' to each side of the equation. 10 + -10 + -10q = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -10q = 14 + -10 -10q = 14 + -10 Combine like terms: 14 + -10 = 4 -10q = 4 Divide each side by '-10'. q = -0.4 Simplifying q = -0.4
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