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Simplifying 4u + -8 = -5(1 + -1u) Reorder the terms: -8 + 4u = -5(1 + -1u) -8 + 4u = (1 * -5 + -1u * -5) -8 + 4u = (-5 + 5u) Solving -8 + 4u = -5 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -8 + 4u + -5u = -5 + 5u + -5u Combine like terms: 4u + -5u = -1u -8 + -1u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 -8 + -1u = -5 + 0 -8 + -1u = -5 Add '8' to each side of the equation. -8 + 8 + -1u = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1u = -5 + 8 -1u = -5 + 8 Combine like terms: -5 + 8 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3
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