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Simplifying -5u + -24 = -3(u + 4) Reorder the terms: -24 + -5u = -3(u + 4) Reorder the terms: -24 + -5u = -3(4 + u) -24 + -5u = (4 * -3 + u * -3) -24 + -5u = (-12 + -3u) Solving -24 + -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. -24 + -5u + 3u = -12 + -3u + 3u Combine like terms: -5u + 3u = -2u -24 + -2u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 -24 + -2u = -12 + 0 -24 + -2u = -12 Add '24' to each side of the equation. -24 + 24 + -2u = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -2u = -12 + 24 -2u = -12 + 24 Combine like terms: -12 + 24 = 12 -2u = 12 Divide each side by '-2'. u = -6 Simplifying u = -6
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