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Simplifying 5u + -30 = 8(u + -3) Reorder the terms: -30 + 5u = 8(u + -3) Reorder the terms: -30 + 5u = 8(-3 + u) -30 + 5u = (-3 * 8 + u * 8) -30 + 5u = (-24 + 8u) Solving -30 + 5u = -24 + 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. -30 + 5u + -8u = -24 + 8u + -8u Combine like terms: 5u + -8u = -3u -30 + -3u = -24 + 8u + -8u Combine like terms: 8u + -8u = 0 -30 + -3u = -24 + 0 -30 + -3u = -24 Add '30' to each side of the equation. -30 + 30 + -3u = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -3u = -24 + 30 -3u = -24 + 30 Combine like terms: -24 + 30 = 6 -3u = 6 Divide each side by '-3'. u = -2 Simplifying u = -2
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