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Simplifying -2(u + 8) = 2u + -4 + 6(2u + 1) Reorder the terms: -2(8 + u) = 2u + -4 + 6(2u + 1) (8 * -2 + u * -2) = 2u + -4 + 6(2u + 1) (-16 + -2u) = 2u + -4 + 6(2u + 1) Reorder the terms: -16 + -2u = 2u + -4 + 6(1 + 2u) -16 + -2u = 2u + -4 + (1 * 6 + 2u * 6) -16 + -2u = 2u + -4 + (6 + 12u) Reorder the terms: -16 + -2u = -4 + 6 + 2u + 12u Combine like terms: -4 + 6 = 2 -16 + -2u = 2 + 2u + 12u Combine like terms: 2u + 12u = 14u -16 + -2u = 2 + 14u Solving -16 + -2u = 2 + 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. -16 + -2u + -14u = 2 + 14u + -14u Combine like terms: -2u + -14u = -16u -16 + -16u = 2 + 14u + -14u Combine like terms: 14u + -14u = 0 -16 + -16u = 2 + 0 -16 + -16u = 2 Add '16' to each side of the equation. -16 + 16 + -16u = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -16u = 2 + 16 -16u = 2 + 16 Combine like terms: 2 + 16 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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