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Simplifying (3q + 9) + -1(q + -5) = 0 Reorder the terms: (9 + 3q) + -1(q + -5) = 0 Remove parenthesis around (9 + 3q) 9 + 3q + -1(q + -5) = 0 Reorder the terms: 9 + 3q + -1(-5 + q) = 0 9 + 3q + (-5 * -1 + q * -1) = 0 9 + 3q + (5 + -1q) = 0 Reorder the terms: 9 + 5 + 3q + -1q = 0 Combine like terms: 9 + 5 = 14 14 + 3q + -1q = 0 Combine like terms: 3q + -1q = 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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