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Simplifying -5u + 41 = 8(u + -3) Reorder the terms: 41 + -5u = 8(u + -3) Reorder the terms: 41 + -5u = 8(-3 + u) 41 + -5u = (-3 * 8 + u * 8) 41 + -5u = (-24 + 8u) Solving 41 + -5u = -24 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 41 + -5u + -8u = -24 + 8u + -8u Combine like terms: -5u + -8u = -13u 41 + -13u = -24 + 8u + -8u Combine like terms: 8u + -8u = 0 41 + -13u = -24 + 0 41 + -13u = -24 Add '-41' to each side of the equation. 41 + -41 + -13u = -24 + -41 Combine like terms: 41 + -41 = 0 0 + -13u = -24 + -41 -13u = -24 + -41 Combine like terms: -24 + -41 = -65 -13u = -65 Divide each side by '-13'. u = 5 Simplifying u = 5
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