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Simplifying 0.3(u + 1) + 6u = 4.9 + 4u Reorder the terms: 0.3(1 + u) + 6u = 4.9 + 4u (1 * 0.3 + u * 0.3) + 6u = 4.9 + 4u (0.3 + 0.3u) + 6u = 4.9 + 4u Combine like terms: 0.3u + 6u = 6.3u 0.3 + 6.3u = 4.9 + 4u Solving 0.3 + 6.3u = 4.9 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 0.3 + 6.3u + -4u = 4.9 + 4u + -4u Combine like terms: 6.3u + -4u = 2.3u 0.3 + 2.3u = 4.9 + 4u + -4u Combine like terms: 4u + -4u = 0 0.3 + 2.3u = 4.9 + 0 0.3 + 2.3u = 4.9 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 2.3u = 4.9 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 2.3u = 4.9 + -0.3 2.3u = 4.9 + -0.3 Combine like terms: 4.9 + -0.3 = 4.6 2.3u = 4.6 Divide each side by '2.3'. u = 2 Simplifying u = 2
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