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Simplifying (42 + -3u) = (-3u + 6) * 8 Remove parenthesis around (42 + -3u) 42 + -3u = (-3u + 6) * 8 Reorder the terms: 42 + -3u = (6 + -3u) * 8 Reorder the terms for easier multiplication: 42 + -3u = 8(6 + -3u) 42 + -3u = (6 * 8 + -3u * 8) 42 + -3u = (48 + -24u) Solving 42 + -3u = 48 + -24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24u' to each side of the equation. 42 + -3u + 24u = 48 + -24u + 24u Combine like terms: -3u + 24u = 21u 42 + 21u = 48 + -24u + 24u Combine like terms: -24u + 24u = 0 42 + 21u = 48 + 0 42 + 21u = 48 Add '-42' to each side of the equation. 42 + -42 + 21u = 48 + -42 Combine like terms: 42 + -42 = 0 0 + 21u = 48 + -42 21u = 48 + -42 Combine like terms: 48 + -42 = 6 21u = 6 Divide each side by '21'. u = 0.2857142857 Simplifying u = 0.2857142857
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