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Simplifying 2(u + -4) = 2u + 8 + -2(-6u + -1) Reorder the terms: 2(-4 + u) = 2u + 8 + -2(-6u + -1) (-4 * 2 + u * 2) = 2u + 8 + -2(-6u + -1) (-8 + 2u) = 2u + 8 + -2(-6u + -1) Reorder the terms: -8 + 2u = 2u + 8 + -2(-1 + -6u) -8 + 2u = 2u + 8 + (-1 * -2 + -6u * -2) -8 + 2u = 2u + 8 + (2 + 12u) Reorder the terms: -8 + 2u = 8 + 2 + 2u + 12u Combine like terms: 8 + 2 = 10 -8 + 2u = 10 + 2u + 12u Combine like terms: 2u + 12u = 14u -8 + 2u = 10 + 14u Solving -8 + 2u = 10 + 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 + 2u + -14u = 10 + 14u + -14u Combine like terms: 2u + -14u = -12u -8 + -12u = 10 + 14u + -14u Combine like terms: 14u + -14u = 0 -8 + -12u = 10 + 0 -8 + -12u = 10 Add '8' to each side of the equation. -8 + 8 + -12u = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -12u = 10 + 8 -12u = 10 + 8 Combine like terms: 10 + 8 = 18 -12u = 18 Divide each side by '-12'. u = -1.5 Simplifying u = -1.5
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