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Simplifying 3(u + -5) = -8u + 7 Reorder the terms: 3(-5 + u) = -8u + 7 (-5 * 3 + u * 3) = -8u + 7 (-15 + 3u) = -8u + 7 Reorder the terms: -15 + 3u = 7 + -8u Solving -15 + 3u = 7 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -15 + 3u + 8u = 7 + -8u + 8u Combine like terms: 3u + 8u = 11u -15 + 11u = 7 + -8u + 8u Combine like terms: -8u + 8u = 0 -15 + 11u = 7 + 0 -15 + 11u = 7 Add '15' to each side of the equation. -15 + 15 + 11u = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 11u = 7 + 15 11u = 7 + 15 Combine like terms: 7 + 15 = 22 11u = 22 Divide each side by '11'. u = 2 Simplifying u = 2
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