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Simplifying -3(u + 5) = 3u + -5 + 2(2u + 4) Reorder the terms: -3(5 + u) = 3u + -5 + 2(2u + 4) (5 * -3 + u * -3) = 3u + -5 + 2(2u + 4) (-15 + -3u) = 3u + -5 + 2(2u + 4) Reorder the terms: -15 + -3u = 3u + -5 + 2(4 + 2u) -15 + -3u = 3u + -5 + (4 * 2 + 2u * 2) -15 + -3u = 3u + -5 + (8 + 4u) Reorder the terms: -15 + -3u = -5 + 8 + 3u + 4u Combine like terms: -5 + 8 = 3 -15 + -3u = 3 + 3u + 4u Combine like terms: 3u + 4u = 7u -15 + -3u = 3 + 7u Solving -15 + -3u = 3 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -15 + -3u + -7u = 3 + 7u + -7u Combine like terms: -3u + -7u = -10u -15 + -10u = 3 + 7u + -7u Combine like terms: 7u + -7u = 0 -15 + -10u = 3 + 0 -15 + -10u = 3 Add '15' to each side of the equation. -15 + 15 + -10u = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -10u = 3 + 15 -10u = 3 + 15 Combine like terms: 3 + 15 = 18 -10u = 18 Divide each side by '-10'. u = -1.8 Simplifying u = -1.8
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