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Simplifying -2(u + 4) = 2u + -4 + 2(3u + 1) Reorder the terms: -2(4 + u) = 2u + -4 + 2(3u + 1) (4 * -2 + u * -2) = 2u + -4 + 2(3u + 1) (-8 + -2u) = 2u + -4 + 2(3u + 1) Reorder the terms: -8 + -2u = 2u + -4 + 2(1 + 3u) -8 + -2u = 2u + -4 + (1 * 2 + 3u * 2) -8 + -2u = 2u + -4 + (2 + 6u) Reorder the terms: -8 + -2u = -4 + 2 + 2u + 6u Combine like terms: -4 + 2 = -2 -8 + -2u = -2 + 2u + 6u Combine like terms: 2u + 6u = 8u -8 + -2u = -2 + 8u Solving -8 + -2u = -2 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -8 + -2u + -8u = -2 + 8u + -8u Combine like terms: -2u + -8u = -10u -8 + -10u = -2 + 8u + -8u Combine like terms: 8u + -8u = 0 -8 + -10u = -2 + 0 -8 + -10u = -2 Add '8' to each side of the equation. -8 + 8 + -10u = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -10u = -2 + 8 -10u = -2 + 8 Combine like terms: -2 + 8 = 6 -10u = 6 Divide each side by '-10'. u = -0.6 Simplifying u = -0.6
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