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Simplifying 6u + 3 + -2(-4u + -2) = 2(u + -1) Reorder the terms: 6u + 3 + -2(-2 + -4u) = 2(u + -1) 6u + 3 + (-2 * -2 + -4u * -2) = 2(u + -1) 6u + 3 + (4 + 8u) = 2(u + -1) Reorder the terms: 3 + 4 + 6u + 8u = 2(u + -1) Combine like terms: 3 + 4 = 7 7 + 6u + 8u = 2(u + -1) Combine like terms: 6u + 8u = 14u 7 + 14u = 2(u + -1) Reorder the terms: 7 + 14u = 2(-1 + u) 7 + 14u = (-1 * 2 + u * 2) 7 + 14u = (-2 + 2u) Solving 7 + 14u = -2 + 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. 7 + 14u + -2u = -2 + 2u + -2u Combine like terms: 14u + -2u = 12u 7 + 12u = -2 + 2u + -2u Combine like terms: 2u + -2u = 0 7 + 12u = -2 + 0 7 + 12u = -2 Add '-7' to each side of the equation. 7 + -7 + 12u = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 12u = -2 + -7 12u = -2 + -7 Combine like terms: -2 + -7 = -9 12u = -9 Divide each side by '12'. u = -0.75 Simplifying u = -0.75
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