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Simplifying 4q + -1(8q + 1) = 9 + -1(9q + -8) Reorder the terms: 4q + -1(1 + 8q) = 9 + -1(9q + -8) 4q + (1 * -1 + 8q * -1) = 9 + -1(9q + -8) 4q + (-1 + -8q) = 9 + -1(9q + -8) Reorder the terms: -1 + 4q + -8q = 9 + -1(9q + -8) Combine like terms: 4q + -8q = -4q -1 + -4q = 9 + -1(9q + -8) Reorder the terms: -1 + -4q = 9 + -1(-8 + 9q) -1 + -4q = 9 + (-8 * -1 + 9q * -1) -1 + -4q = 9 + (8 + -9q) Combine like terms: 9 + 8 = 17 -1 + -4q = 17 + -9q Solving -1 + -4q = 17 + -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. -1 + -4q + 9q = 17 + -9q + 9q Combine like terms: -4q + 9q = 5q -1 + 5q = 17 + -9q + 9q Combine like terms: -9q + 9q = 0 -1 + 5q = 17 + 0 -1 + 5q = 17 Add '1' to each side of the equation. -1 + 1 + 5q = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 5q = 17 + 1 5q = 17 + 1 Combine like terms: 17 + 1 = 18 5q = 18 Divide each side by '5'. q = 3.6 Simplifying q = 3.6
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