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Simplifying 1 + -3[u + 1] = -5[u + -2] Reorder the terms: 1 + -3[1 + u] = -5[u + -2] 1 + [1 * -3 + u * -3] = -5[u + -2] 1 + [-3 + -3u] = -5[u + -2] Combine like terms: 1 + -3 = -2 -2 + -3u = -5[u + -2] Reorder the terms: -2 + -3u = -5[-2 + u] -2 + -3u = [-2 * -5 + u * -5] -2 + -3u = [10 + -5u] Solving -2 + -3u = 10 + -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. -2 + -3u + 5u = 10 + -5u + 5u Combine like terms: -3u + 5u = 2u -2 + 2u = 10 + -5u + 5u Combine like terms: -5u + 5u = 0 -2 + 2u = 10 + 0 -2 + 2u = 10 Add '2' to each side of the equation. -2 + 2 + 2u = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2u = 10 + 2 2u = 10 + 2 Combine like terms: 10 + 2 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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