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Simplifying 6q + -1(9q + 8) = 5 + -1(5q + -6) Reorder the terms: 6q + -1(8 + 9q) = 5 + -1(5q + -6) 6q + (8 * -1 + 9q * -1) = 5 + -1(5q + -6) 6q + (-8 + -9q) = 5 + -1(5q + -6) Reorder the terms: -8 + 6q + -9q = 5 + -1(5q + -6) Combine like terms: 6q + -9q = -3q -8 + -3q = 5 + -1(5q + -6) Reorder the terms: -8 + -3q = 5 + -1(-6 + 5q) -8 + -3q = 5 + (-6 * -1 + 5q * -1) -8 + -3q = 5 + (6 + -5q) Combine like terms: 5 + 6 = 11 -8 + -3q = 11 + -5q Solving -8 + -3q = 11 + -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. -8 + -3q + 5q = 11 + -5q + 5q Combine like terms: -3q + 5q = 2q -8 + 2q = 11 + -5q + 5q Combine like terms: -5q + 5q = 0 -8 + 2q = 11 + 0 -8 + 2q = 11 Add '8' to each side of the equation. -8 + 8 + 2q = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 2q = 11 + 8 2q = 11 + 8 Combine like terms: 11 + 8 = 19 2q = 19 Divide each side by '2'. q = 9.5 Simplifying q = 9.5
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