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Simplifying 6(u + -1) = 6u + 6 + -2(-8u + -1) Reorder the terms: 6(-1 + u) = 6u + 6 + -2(-8u + -1) (-1 * 6 + u * 6) = 6u + 6 + -2(-8u + -1) (-6 + 6u) = 6u + 6 + -2(-8u + -1) Reorder the terms: -6 + 6u = 6u + 6 + -2(-1 + -8u) -6 + 6u = 6u + 6 + (-1 * -2 + -8u * -2) -6 + 6u = 6u + 6 + (2 + 16u) Reorder the terms: -6 + 6u = 6 + 2 + 6u + 16u Combine like terms: 6 + 2 = 8 -6 + 6u = 8 + 6u + 16u Combine like terms: 6u + 16u = 22u -6 + 6u = 8 + 22u Solving -6 + 6u = 8 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -6 + 6u + -22u = 8 + 22u + -22u Combine like terms: 6u + -22u = -16u -6 + -16u = 8 + 22u + -22u Combine like terms: 22u + -22u = 0 -6 + -16u = 8 + 0 -6 + -16u = 8 Add '6' to each side of the equation. -6 + 6 + -16u = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -16u = 8 + 6 -16u = 8 + 6 Combine like terms: 8 + 6 = 14 -16u = 14 Divide each side by '-16'. u = -0.875 Simplifying u = -0.875
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