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Simplifying 4 + -1(u + 3) = 4 + (2u + -12) Reorder the terms: 4 + -1(3 + u) = 4 + (2u + -12) 4 + (3 * -1 + u * -1) = 4 + (2u + -12) 4 + (-3 + -1u) = 4 + (2u + -12) Combine like terms: 4 + -3 = 1 1 + -1u = 4 + (2u + -12) Reorder the terms: 1 + -1u = 4 + (-12 + 2u) Remove parenthesis around (-12 + 2u) 1 + -1u = 4 + -12 + 2u Combine like terms: 4 + -12 = -8 1 + -1u = -8 + 2u Solving 1 + -1u = -8 + 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. 1 + -1u + -2u = -8 + 2u + -2u Combine like terms: -1u + -2u = -3u 1 + -3u = -8 + 2u + -2u Combine like terms: 2u + -2u = 0 1 + -3u = -8 + 0 1 + -3u = -8 Add '-1' to each side of the equation. 1 + -1 + -3u = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3u = -8 + -1 -3u = -8 + -1 Combine like terms: -8 + -1 = -9 -3u = -9 Divide each side by '-3'. u = 3 Simplifying u = 3
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