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Simplifying -5u + -14 = -8(u + 1) Reorder the terms: -14 + -5u = -8(u + 1) Reorder the terms: -14 + -5u = -8(1 + u) -14 + -5u = (1 * -8 + u * -8) -14 + -5u = (-8 + -8u) Solving -14 + -5u = -8 + -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. -14 + -5u + 8u = -8 + -8u + 8u Combine like terms: -5u + 8u = 3u -14 + 3u = -8 + -8u + 8u Combine like terms: -8u + 8u = 0 -14 + 3u = -8 + 0 -14 + 3u = -8 Add '14' to each side of the equation. -14 + 14 + 3u = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 3u = -8 + 14 3u = -8 + 14 Combine like terms: -8 + 14 = 6 3u = 6 Divide each side by '3'. u = 2 Simplifying u = 2
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