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Simplifying -5(u + 9) = 3u + -13 Reorder the terms: -5(9 + u) = 3u + -13 (9 * -5 + u * -5) = 3u + -13 (-45 + -5u) = 3u + -13 Reorder the terms: -45 + -5u = -13 + 3u Solving -45 + -5u = -13 + 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. -45 + -5u + -3u = -13 + 3u + -3u Combine like terms: -5u + -3u = -8u -45 + -8u = -13 + 3u + -3u Combine like terms: 3u + -3u = 0 -45 + -8u = -13 + 0 -45 + -8u = -13 Add '45' to each side of the equation. -45 + 45 + -8u = -13 + 45 Combine like terms: -45 + 45 = 0 0 + -8u = -13 + 45 -8u = -13 + 45 Combine like terms: -13 + 45 = 32 -8u = 32 Divide each side by '-8'. u = -4 Simplifying u = -4
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