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Simplifying -4(u + 2) = 6u + -8 + 2(4u + 6) Reorder the terms: -4(2 + u) = 6u + -8 + 2(4u + 6) (2 * -4 + u * -4) = 6u + -8 + 2(4u + 6) (-8 + -4u) = 6u + -8 + 2(4u + 6) Reorder the terms: -8 + -4u = 6u + -8 + 2(6 + 4u) -8 + -4u = 6u + -8 + (6 * 2 + 4u * 2) -8 + -4u = 6u + -8 + (12 + 8u) Reorder the terms: -8 + -4u = -8 + 12 + 6u + 8u Combine like terms: -8 + 12 = 4 -8 + -4u = 4 + 6u + 8u Combine like terms: 6u + 8u = 14u -8 + -4u = 4 + 14u Solving -8 + -4u = 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. -8 + -4u + -14u = 4 + 14u + -14u Combine like terms: -4u + -14u = -18u -8 + -18u = 4 + 14u + -14u Combine like terms: 14u + -14u = 0 -8 + -18u = 4 + 0 -8 + -18u = 4 Add '8' to each side of the equation. -8 + 8 + -18u = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -18u = 4 + 8 -18u = 4 + 8 Combine like terms: 4 + 8 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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