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Simplifying 5(3 + -1u) + 2u = 5 + -2u (3 * 5 + -1u * 5) + 2u = 5 + -2u (15 + -5u) + 2u = 5 + -2u Combine like terms: -5u + 2u = -3u 15 + -3u = 5 + -2u Solving 15 + -3u = 5 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 15 + -3u + 2u = 5 + -2u + 2u Combine like terms: -3u + 2u = -1u 15 + -1u = 5 + -2u + 2u Combine like terms: -2u + 2u = 0 15 + -1u = 5 + 0 15 + -1u = 5 Add '-15' to each side of the equation. 15 + -15 + -1u = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -1u = 5 + -15 -1u = 5 + -15 Combine like terms: 5 + -15 = -10 -1u = -10 Divide each side by '-1'. u = 10 Simplifying u = 10
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