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Simplifying -9u + -42 = -6(u + 6) Reorder the terms: -42 + -9u = -6(u + 6) Reorder the terms: -42 + -9u = -6(6 + u) -42 + -9u = (6 * -6 + u * -6) -42 + -9u = (-36 + -6u) Solving -42 + -9u = -36 + -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. -42 + -9u + 6u = -36 + -6u + 6u Combine like terms: -9u + 6u = -3u -42 + -3u = -36 + -6u + 6u Combine like terms: -6u + 6u = 0 -42 + -3u = -36 + 0 -42 + -3u = -36 Add '42' to each side of the equation. -42 + 42 + -3u = -36 + 42 Combine like terms: -42 + 42 = 0 0 + -3u = -36 + 42 -3u = -36 + 42 Combine like terms: -36 + 42 = 6 -3u = 6 Divide each side by '-3'. u = -2 Simplifying u = -2
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