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Simplifying 3u + -38 = 5(u + -4) Reorder the terms: -38 + 3u = 5(u + -4) Reorder the terms: -38 + 3u = 5(-4 + u) -38 + 3u = (-4 * 5 + u * 5) -38 + 3u = (-20 + 5u) Solving -38 + 3u = -20 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -38 + 3u + -5u = -20 + 5u + -5u Combine like terms: 3u + -5u = -2u -38 + -2u = -20 + 5u + -5u Combine like terms: 5u + -5u = 0 -38 + -2u = -20 + 0 -38 + -2u = -20 Add '38' to each side of the equation. -38 + 38 + -2u = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -2u = -20 + 38 -2u = -20 + 38 Combine like terms: -20 + 38 = 18 -2u = 18 Divide each side by '-2'. u = -9 Simplifying u = -9
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