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Simplifying 4u + -1 + 2(4u + 8) = -3(u + 1) Reorder the terms: 4u + -1 + 2(8 + 4u) = -3(u + 1) 4u + -1 + (8 * 2 + 4u * 2) = -3(u + 1) 4u + -1 + (16 + 8u) = -3(u + 1) Reorder the terms: -1 + 16 + 4u + 8u = -3(u + 1) Combine like terms: -1 + 16 = 15 15 + 4u + 8u = -3(u + 1) Combine like terms: 4u + 8u = 12u 15 + 12u = -3(u + 1) Reorder the terms: 15 + 12u = -3(1 + u) 15 + 12u = (1 * -3 + u * -3) 15 + 12u = (-3 + -3u) Solving 15 + 12u = -3 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 15 + 12u + 3u = -3 + -3u + 3u Combine like terms: 12u + 3u = 15u 15 + 15u = -3 + -3u + 3u Combine like terms: -3u + 3u = 0 15 + 15u = -3 + 0 15 + 15u = -3 Add '-15' to each side of the equation. 15 + -15 + 15u = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 15u = -3 + -15 15u = -3 + -15 Combine like terms: -3 + -15 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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