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Simplifying 5u + -2 = -3(u + 6) Reorder the terms: -2 + 5u = -3(u + 6) Reorder the terms: -2 + 5u = -3(6 + u) -2 + 5u = (6 * -3 + u * -3) -2 + 5u = (-18 + -3u) Solving -2 + 5u = -18 + -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. -2 + 5u + 3u = -18 + -3u + 3u Combine like terms: 5u + 3u = 8u -2 + 8u = -18 + -3u + 3u Combine like terms: -3u + 3u = 0 -2 + 8u = -18 + 0 -2 + 8u = -18 Add '2' to each side of the equation. -2 + 2 + 8u = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 8u = -18 + 2 8u = -18 + 2 Combine like terms: -18 + 2 = -16 8u = -16 Divide each side by '8'. u = -2 Simplifying u = -2
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