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Simplifying -2(u + 7) = 2u + -8 + 4(3u + 3) Reorder the terms: -2(7 + u) = 2u + -8 + 4(3u + 3) (7 * -2 + u * -2) = 2u + -8 + 4(3u + 3) (-14 + -2u) = 2u + -8 + 4(3u + 3) Reorder the terms: -14 + -2u = 2u + -8 + 4(3 + 3u) -14 + -2u = 2u + -8 + (3 * 4 + 3u * 4) -14 + -2u = 2u + -8 + (12 + 12u) Reorder the terms: -14 + -2u = -8 + 12 + 2u + 12u Combine like terms: -8 + 12 = 4 -14 + -2u = 4 + 2u + 12u Combine like terms: 2u + 12u = 14u -14 + -2u = 4 + 14u Solving -14 + -2u = 4 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -14 + -2u + -14u = 4 + 14u + -14u Combine like terms: -2u + -14u = -16u -14 + -16u = 4 + 14u + -14u Combine like terms: 14u + -14u = 0 -14 + -16u = 4 + 0 -14 + -16u = 4 Add '14' to each side of the equation. -14 + 14 + -16u = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -16u = 4 + 14 -16u = 4 + 14 Combine like terms: 4 + 14 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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