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Simplifying 9q + -1(3q + 14) = 2 + -1(3q + -9) Reorder the terms: 9q + -1(14 + 3q) = 2 + -1(3q + -9) 9q + (14 * -1 + 3q * -1) = 2 + -1(3q + -9) 9q + (-14 + -3q) = 2 + -1(3q + -9) Reorder the terms: -14 + 9q + -3q = 2 + -1(3q + -9) Combine like terms: 9q + -3q = 6q -14 + 6q = 2 + -1(3q + -9) Reorder the terms: -14 + 6q = 2 + -1(-9 + 3q) -14 + 6q = 2 + (-9 * -1 + 3q * -1) -14 + 6q = 2 + (9 + -3q) Combine like terms: 2 + 9 = 11 -14 + 6q = 11 + -3q Solving -14 + 6q = 11 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -14 + 6q + 3q = 11 + -3q + 3q Combine like terms: 6q + 3q = 9q -14 + 9q = 11 + -3q + 3q Combine like terms: -3q + 3q = 0 -14 + 9q = 11 + 0 -14 + 9q = 11 Add '14' to each side of the equation. -14 + 14 + 9q = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 9q = 11 + 14 9q = 11 + 14 Combine like terms: 11 + 14 = 25 9q = 25 Divide each side by '9'. q = 2.777777778 Simplifying q = 2.777777778
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