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Simplifying -8(u + -5) = 5u + 1 Reorder the terms: -8(-5 + u) = 5u + 1 (-5 * -8 + u * -8) = 5u + 1 (40 + -8u) = 5u + 1 Reorder the terms: 40 + -8u = 1 + 5u Solving 40 + -8u = 1 + 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. 40 + -8u + -5u = 1 + 5u + -5u Combine like terms: -8u + -5u = -13u 40 + -13u = 1 + 5u + -5u Combine like terms: 5u + -5u = 0 40 + -13u = 1 + 0 40 + -13u = 1 Add '-40' to each side of the equation. 40 + -40 + -13u = 1 + -40 Combine like terms: 40 + -40 = 0 0 + -13u = 1 + -40 -13u = 1 + -40 Combine like terms: 1 + -40 = -39 -13u = -39 Divide each side by '-13'. u = 3 Simplifying u = 3
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