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Simplifying -5u + 30 = -3(u + -4) Reorder the terms: 30 + -5u = -3(u + -4) Reorder the terms: 30 + -5u = -3(-4 + u) 30 + -5u = (-4 * -3 + u * -3) 30 + -5u = (12 + -3u) Solving 30 + -5u = 12 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 30 + -5u + 3u = 12 + -3u + 3u Combine like terms: -5u + 3u = -2u 30 + -2u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 30 + -2u = 12 + 0 30 + -2u = 12 Add '-30' to each side of the equation. 30 + -30 + -2u = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -2u = 12 + -30 -2u = 12 + -30 Combine like terms: 12 + -30 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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