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Simplifying 7q + -1(5q + 5) = 9 + -1(5q + -6) Reorder the terms: 7q + -1(5 + 5q) = 9 + -1(5q + -6) 7q + (5 * -1 + 5q * -1) = 9 + -1(5q + -6) 7q + (-5 + -5q) = 9 + -1(5q + -6) Reorder the terms: -5 + 7q + -5q = 9 + -1(5q + -6) Combine like terms: 7q + -5q = 2q -5 + 2q = 9 + -1(5q + -6) Reorder the terms: -5 + 2q = 9 + -1(-6 + 5q) -5 + 2q = 9 + (-6 * -1 + 5q * -1) -5 + 2q = 9 + (6 + -5q) Combine like terms: 9 + 6 = 15 -5 + 2q = 15 + -5q Solving -5 + 2q = 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. -5 + 2q + 5q = 15 + -5q + 5q Combine like terms: 2q + 5q = 7q -5 + 7q = 15 + -5q + 5q Combine like terms: -5q + 5q = 0 -5 + 7q = 15 + 0 -5 + 7q = 15 Add '5' to each side of the equation. -5 + 5 + 7q = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 7q = 15 + 5 7q = 15 + 5 Combine like terms: 15 + 5 = 20 7q = 20 Divide each side by '7'. q = 2.857142857 Simplifying q = 2.857142857
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