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Simplifying 5 + 5q + -1(3q + -9) = 0 Reorder the terms: 5 + 5q + -1(-9 + 3q) = 0 5 + 5q + (-9 * -1 + 3q * -1) = 0 5 + 5q + (9 + -3q) = 0 Reorder the terms: 5 + 9 + 5q + -3q = 0 Combine like terms: 5 + 9 = 14 14 + 5q + -3q = 0 Combine like terms: 5q + -3q = 2q 14 + 2q = 0 Solving 14 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2q = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2q = 0 + -14 2q = 0 + -14 Combine like terms: 0 + -14 = -14 2q = -14 Divide each side by '2'. q = -7 Simplifying q = -7
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