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Simplifying 9q + -1(2q + 14) = 6 + -1(3q + -3) Reorder the terms: 9q + -1(14 + 2q) = 6 + -1(3q + -3) 9q + (14 * -1 + 2q * -1) = 6 + -1(3q + -3) 9q + (-14 + -2q) = 6 + -1(3q + -3) Reorder the terms: -14 + 9q + -2q = 6 + -1(3q + -3) Combine like terms: 9q + -2q = 7q -14 + 7q = 6 + -1(3q + -3) Reorder the terms: -14 + 7q = 6 + -1(-3 + 3q) -14 + 7q = 6 + (-3 * -1 + 3q * -1) -14 + 7q = 6 + (3 + -3q) Combine like terms: 6 + 3 = 9 -14 + 7q = 9 + -3q Solving -14 + 7q = 9 + -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 + 7q + 3q = 9 + -3q + 3q Combine like terms: 7q + 3q = 10q -14 + 10q = 9 + -3q + 3q Combine like terms: -3q + 3q = 0 -14 + 10q = 9 + 0 -14 + 10q = 9 Add '14' to each side of the equation. -14 + 14 + 10q = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 10q = 9 + 14 10q = 9 + 14 Combine like terms: 9 + 14 = 23 10q = 23 Divide each side by '10'. q = 2.3 Simplifying q = 2.3
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