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Simplifying 3(u + -7) = 8u + -41 Reorder the terms: 3(-7 + u) = 8u + -41 (-7 * 3 + u * 3) = 8u + -41 (-21 + 3u) = 8u + -41 Reorder the terms: -21 + 3u = -41 + 8u Solving -21 + 3u = -41 + 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. -21 + 3u + -8u = -41 + 8u + -8u Combine like terms: 3u + -8u = -5u -21 + -5u = -41 + 8u + -8u Combine like terms: 8u + -8u = 0 -21 + -5u = -41 + 0 -21 + -5u = -41 Add '21' to each side of the equation. -21 + 21 + -5u = -41 + 21 Combine like terms: -21 + 21 = 0 0 + -5u = -41 + 21 -5u = -41 + 21 Combine like terms: -41 + 21 = -20 -5u = -20 Divide each side by '-5'. u = 4 Simplifying u = 4
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