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Simplifying -5u + 40 = 6(u + -8) Reorder the terms: 40 + -5u = 6(u + -8) Reorder the terms: 40 + -5u = 6(-8 + u) 40 + -5u = (-8 * 6 + u * 6) 40 + -5u = (-48 + 6u) Solving 40 + -5u = -48 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 40 + -5u + -6u = -48 + 6u + -6u Combine like terms: -5u + -6u = -11u 40 + -11u = -48 + 6u + -6u Combine like terms: 6u + -6u = 0 40 + -11u = -48 + 0 40 + -11u = -48 Add '-40' to each side of the equation. 40 + -40 + -11u = -48 + -40 Combine like terms: 40 + -40 = 0 0 + -11u = -48 + -40 -11u = -48 + -40 Combine like terms: -48 + -40 = -88 -11u = -88 Divide each side by '-11'. u = 8 Simplifying u = 8
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