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Simplifying (3 + u + v) * 5 = 0 Reorder the terms for easier multiplication: 5(3 + u + v) = 0 (3 * 5 + u * 5 + v * 5) = 0 (15 + 5u + 5v) = 0 Solving 15 + 5u + 5v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5u + -15 + 5v = 0 + -15 Reorder the terms: 15 + -15 + 5u + 5v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5u + 5v = 0 + -15 5u + 5v = 0 + -15 Combine like terms: 0 + -15 = -15 5u + 5v = -15 Add '-5v' to each side of the equation. 5u + 5v + -5v = -15 + -5v Combine like terms: 5v + -5v = 0 5u + 0 = -15 + -5v 5u = -15 + -5v Divide each side by '5'. u = -3 + -1v Simplifying u = -3 + -1v
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