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Simplifying -5(u + 3) = 3u + 49 Reorder the terms: -5(3 + u) = 3u + 49 (3 * -5 + u * -5) = 3u + 49 (-15 + -5u) = 3u + 49 Reorder the terms: -15 + -5u = 49 + 3u Solving -15 + -5u = 49 + 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. -15 + -5u + -3u = 49 + 3u + -3u Combine like terms: -5u + -3u = -8u -15 + -8u = 49 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + -8u = 49 + 0 -15 + -8u = 49 Add '15' to each side of the equation. -15 + 15 + -8u = 49 + 15 Combine like terms: -15 + 15 = 0 0 + -8u = 49 + 15 -8u = 49 + 15 Combine like terms: 49 + 15 = 64 -8u = 64 Divide each side by '-8'. u = -8 Simplifying u = -8
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