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Simplifying -3u + -21 = -6(u + 1) Reorder the terms: -21 + -3u = -6(u + 1) Reorder the terms: -21 + -3u = -6(1 + u) -21 + -3u = (1 * -6 + u * -6) -21 + -3u = (-6 + -6u) Solving -21 + -3u = -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. -21 + -3u + 6u = -6 + -6u + 6u Combine like terms: -3u + 6u = 3u -21 + 3u = -6 + -6u + 6u Combine like terms: -6u + 6u = 0 -21 + 3u = -6 + 0 -21 + 3u = -6 Add '21' to each side of the equation. -21 + 21 + 3u = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 3u = -6 + 21 3u = -6 + 21 Combine like terms: -6 + 21 = 15 3u = 15 Divide each side by '3'. u = 5 Simplifying u = 5
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