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Simplifying -2(u + 7) = 4u + -8 + 2(2u + 4) Reorder the terms: -2(7 + u) = 4u + -8 + 2(2u + 4) (7 * -2 + u * -2) = 4u + -8 + 2(2u + 4) (-14 + -2u) = 4u + -8 + 2(2u + 4) Reorder the terms: -14 + -2u = 4u + -8 + 2(4 + 2u) -14 + -2u = 4u + -8 + (4 * 2 + 2u * 2) -14 + -2u = 4u + -8 + (8 + 4u) Reorder the terms: -14 + -2u = -8 + 8 + 4u + 4u Combine like terms: -8 + 8 = 0 -14 + -2u = 0 + 4u + 4u -14 + -2u = 4u + 4u Combine like terms: 4u + 4u = 8u -14 + -2u = 8u Solving -14 + -2u = 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. -14 + -2u + -8u = 8u + -8u Combine like terms: -2u + -8u = -10u -14 + -10u = 8u + -8u Combine like terms: 8u + -8u = 0 -14 + -10u = 0 Add '14' to each side of the equation. -14 + 14 + -10u = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -10u = 0 + 14 -10u = 0 + 14 Combine like terms: 0 + 14 = 14 -10u = 14 Divide each side by '-10'. u = -1.4 Simplifying u = -1.4
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