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Simplifying -5u + -33 = -2(u + 6) Reorder the terms: -33 + -5u = -2(u + 6) Reorder the terms: -33 + -5u = -2(6 + u) -33 + -5u = (6 * -2 + u * -2) -33 + -5u = (-12 + -2u) Solving -33 + -5u = -12 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -33 + -5u + 2u = -12 + -2u + 2u Combine like terms: -5u + 2u = -3u -33 + -3u = -12 + -2u + 2u Combine like terms: -2u + 2u = 0 -33 + -3u = -12 + 0 -33 + -3u = -12 Add '33' to each side of the equation. -33 + 33 + -3u = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -3u = -12 + 33 -3u = -12 + 33 Combine like terms: -12 + 33 = 21 -3u = 21 Divide each side by '-3'. u = -7 Simplifying u = -7
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