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Simplifying 3q + -1(8q + 20) = 6 + -1(9q + -3) Reorder the terms: 3q + -1(20 + 8q) = 6 + -1(9q + -3) 3q + (20 * -1 + 8q * -1) = 6 + -1(9q + -3) 3q + (-20 + -8q) = 6 + -1(9q + -3) Reorder the terms: -20 + 3q + -8q = 6 + -1(9q + -3) Combine like terms: 3q + -8q = -5q -20 + -5q = 6 + -1(9q + -3) Reorder the terms: -20 + -5q = 6 + -1(-3 + 9q) -20 + -5q = 6 + (-3 * -1 + 9q * -1) -20 + -5q = 6 + (3 + -9q) Combine like terms: 6 + 3 = 9 -20 + -5q = 9 + -9q Solving -20 + -5q = 9 + -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. -20 + -5q + 9q = 9 + -9q + 9q Combine like terms: -5q + 9q = 4q -20 + 4q = 9 + -9q + 9q Combine like terms: -9q + 9q = 0 -20 + 4q = 9 + 0 -20 + 4q = 9 Add '20' to each side of the equation. -20 + 20 + 4q = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 4q = 9 + 20 4q = 9 + 20 Combine like terms: 9 + 20 = 29 4q = 29 Divide each side by '4'. q = 7.25 Simplifying q = 7.25
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