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Simplifying -15q + 2(1 + -1q) = 20q + 15(1 + -1q) -15q + (1 * 2 + -1q * 2) = 20q + 15(1 + -1q) -15q + (2 + -2q) = 20q + 15(1 + -1q) Reorder the terms: 2 + -15q + -2q = 20q + 15(1 + -1q) Combine like terms: -15q + -2q = -17q 2 + -17q = 20q + 15(1 + -1q) 2 + -17q = 20q + (1 * 15 + -1q * 15) 2 + -17q = 20q + (15 + -15q) Reorder the terms: 2 + -17q = 15 + 20q + -15q Combine like terms: 20q + -15q = 5q 2 + -17q = 15 + 5q Solving 2 + -17q = 15 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 2 + -17q + -5q = 15 + 5q + -5q Combine like terms: -17q + -5q = -22q 2 + -22q = 15 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + -22q = 15 + 0 2 + -22q = 15 Add '-2' to each side of the equation. 2 + -2 + -22q = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -22q = 15 + -2 -22q = 15 + -2 Combine like terms: 15 + -2 = 13 -22q = 13 Divide each side by '-22'. q = -0.5909090909 Simplifying q = -0.5909090909
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