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Simplifying 2(u + -1) = 4u + 2 + -2(-4u + -4) Reorder the terms: 2(-1 + u) = 4u + 2 + -2(-4u + -4) (-1 * 2 + u * 2) = 4u + 2 + -2(-4u + -4) (-2 + 2u) = 4u + 2 + -2(-4u + -4) Reorder the terms: -2 + 2u = 4u + 2 + -2(-4 + -4u) -2 + 2u = 4u + 2 + (-4 * -2 + -4u * -2) -2 + 2u = 4u + 2 + (8 + 8u) Reorder the terms: -2 + 2u = 2 + 8 + 4u + 8u Combine like terms: 2 + 8 = 10 -2 + 2u = 10 + 4u + 8u Combine like terms: 4u + 8u = 12u -2 + 2u = 10 + 12u Solving -2 + 2u = 10 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -2 + 2u + -12u = 10 + 12u + -12u Combine like terms: 2u + -12u = -10u -2 + -10u = 10 + 12u + -12u Combine like terms: 12u + -12u = 0 -2 + -10u = 10 + 0 -2 + -10u = 10 Add '2' to each side of the equation. -2 + 2 + -10u = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -10u = 10 + 2 -10u = 10 + 2 Combine like terms: 10 + 2 = 12 -10u = 12 Divide each side by '-10'. u = -1.2 Simplifying u = -1.2
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