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Simplifying -9u + -30 = -6(u + 1) Reorder the terms: -30 + -9u = -6(u + 1) Reorder the terms: -30 + -9u = -6(1 + u) -30 + -9u = (1 * -6 + u * -6) -30 + -9u = (-6 + -6u) Solving -30 + -9u = -6 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -30 + -9u + 6u = -6 + -6u + 6u Combine like terms: -9u + 6u = -3u -30 + -3u = -6 + -6u + 6u Combine like terms: -6u + 6u = 0 -30 + -3u = -6 + 0 -30 + -3u = -6 Add '30' to each side of the equation. -30 + 30 + -3u = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -3u = -6 + 30 -3u = -6 + 30 Combine like terms: -6 + 30 = 24 -3u = 24 Divide each side by '-3'. u = -8 Simplifying u = -8
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