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Simplifying 5 + 5q + -1(3q + -5) = 0 Reorder the terms: 5 + 5q + -1(-5 + 3q) = 0 5 + 5q + (-5 * -1 + 3q * -1) = 0 5 + 5q + (5 + -3q) = 0 Reorder the terms: 5 + 5 + 5q + -3q = 0 Combine like terms: 5 + 5 = 10 10 + 5q + -3q = 0 Combine like terms: 5q + -3q = 2q 10 + 2q = 0 Solving 10 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2q = 0 + -10 2q = 0 + -10 Combine like terms: 0 + -10 = -10 2q = -10 Divide each side by '2'. q = -5 Simplifying q = -5
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