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Simplifying -8(u + 9) = -5u + -42 Reorder the terms: -8(9 + u) = -5u + -42 (9 * -8 + u * -8) = -5u + -42 (-72 + -8u) = -5u + -42 Reorder the terms: -72 + -8u = -42 + -5u Solving -72 + -8u = -42 + -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. -72 + -8u + 5u = -42 + -5u + 5u Combine like terms: -8u + 5u = -3u -72 + -3u = -42 + -5u + 5u Combine like terms: -5u + 5u = 0 -72 + -3u = -42 + 0 -72 + -3u = -42 Add '72' to each side of the equation. -72 + 72 + -3u = -42 + 72 Combine like terms: -72 + 72 = 0 0 + -3u = -42 + 72 -3u = -42 + 72 Combine like terms: -42 + 72 = 30 -3u = 30 Divide each side by '-3'. u = -10 Simplifying u = -10
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