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Simplifying 5(u + -1) = 8u + 2 + -2(-3u + -4) Reorder the terms: 5(-1 + u) = 8u + 2 + -2(-3u + -4) (-1 * 5 + u * 5) = 8u + 2 + -2(-3u + -4) (-5 + 5u) = 8u + 2 + -2(-3u + -4) Reorder the terms: -5 + 5u = 8u + 2 + -2(-4 + -3u) -5 + 5u = 8u + 2 + (-4 * -2 + -3u * -2) -5 + 5u = 8u + 2 + (8 + 6u) Reorder the terms: -5 + 5u = 2 + 8 + 8u + 6u Combine like terms: 2 + 8 = 10 -5 + 5u = 10 + 8u + 6u Combine like terms: 8u + 6u = 14u -5 + 5u = 10 + 14u Solving -5 + 5u = 10 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -5 + 5u + -14u = 10 + 14u + -14u Combine like terms: 5u + -14u = -9u -5 + -9u = 10 + 14u + -14u Combine like terms: 14u + -14u = 0 -5 + -9u = 10 + 0 -5 + -9u = 10 Add '5' to each side of the equation. -5 + 5 + -9u = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -9u = 10 + 5 -9u = 10 + 5 Combine like terms: 10 + 5 = 15 -9u = 15 Divide each side by '-9'. u = -1.666666667 Simplifying u = -1.666666667
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