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Simplifying -3u + -32 = -5(u + 6) Reorder the terms: -32 + -3u = -5(u + 6) Reorder the terms: -32 + -3u = -5(6 + u) -32 + -3u = (6 * -5 + u * -5) -32 + -3u = (-30 + -5u) Solving -32 + -3u = -30 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -32 + -3u + 5u = -30 + -5u + 5u Combine like terms: -3u + 5u = 2u -32 + 2u = -30 + -5u + 5u Combine like terms: -5u + 5u = 0 -32 + 2u = -30 + 0 -32 + 2u = -30 Add '32' to each side of the equation. -32 + 32 + 2u = -30 + 32 Combine like terms: -32 + 32 = 0 0 + 2u = -30 + 32 2u = -30 + 32 Combine like terms: -30 + 32 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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