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Simplifying 6u + -4 + 2(3u + 7) = -2(u + 4) Reorder the terms: 6u + -4 + 2(7 + 3u) = -2(u + 4) 6u + -4 + (7 * 2 + 3u * 2) = -2(u + 4) 6u + -4 + (14 + 6u) = -2(u + 4) Reorder the terms: -4 + 14 + 6u + 6u = -2(u + 4) Combine like terms: -4 + 14 = 10 10 + 6u + 6u = -2(u + 4) Combine like terms: 6u + 6u = 12u 10 + 12u = -2(u + 4) Reorder the terms: 10 + 12u = -2(4 + u) 10 + 12u = (4 * -2 + u * -2) 10 + 12u = (-8 + -2u) Solving 10 + 12u = -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. 10 + 12u + 2u = -8 + -2u + 2u Combine like terms: 12u + 2u = 14u 10 + 14u = -8 + -2u + 2u Combine like terms: -2u + 2u = 0 10 + 14u = -8 + 0 10 + 14u = -8 Add '-10' to each side of the equation. 10 + -10 + 14u = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 14u = -8 + -10 14u = -8 + -10 Combine like terms: -8 + -10 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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