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Simplifying 8(6u + -1) + -3u = 9u + 8 Reorder the terms: 8(-1 + 6u) + -3u = 9u + 8 (-1 * 8 + 6u * 8) + -3u = 9u + 8 (-8 + 48u) + -3u = 9u + 8 Combine like terms: 48u + -3u = 45u -8 + 45u = 9u + 8 Reorder the terms: -8 + 45u = 8 + 9u Solving -8 + 45u = 8 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -8 + 45u + -9u = 8 + 9u + -9u Combine like terms: 45u + -9u = 36u -8 + 36u = 8 + 9u + -9u Combine like terms: 9u + -9u = 0 -8 + 36u = 8 + 0 -8 + 36u = 8 Add '8' to each side of the equation. -8 + 8 + 36u = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 36u = 8 + 8 36u = 8 + 8 Combine like terms: 8 + 8 = 16 36u = 16 Divide each side by '36'. u = 0.4444444444 Simplifying u = 0.4444444444
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