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Simplifying 7(u + -6) = -3u + 8 Reorder the terms: 7(-6 + u) = -3u + 8 (-6 * 7 + u * 7) = -3u + 8 (-42 + 7u) = -3u + 8 Reorder the terms: -42 + 7u = 8 + -3u Solving -42 + 7u = 8 + -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. -42 + 7u + 3u = 8 + -3u + 3u Combine like terms: 7u + 3u = 10u -42 + 10u = 8 + -3u + 3u Combine like terms: -3u + 3u = 0 -42 + 10u = 8 + 0 -42 + 10u = 8 Add '42' to each side of the equation. -42 + 42 + 10u = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 10u = 8 + 42 10u = 8 + 42 Combine like terms: 8 + 42 = 50 10u = 50 Divide each side by '10'. u = 5 Simplifying u = 5
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