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Simplifying 6u + -40 = 3(u + 4) + -4 Reorder the terms: -40 + 6u = 3(u + 4) + -4 Reorder the terms: -40 + 6u = 3(4 + u) + -4 -40 + 6u = (4 * 3 + u * 3) + -4 -40 + 6u = (12 + 3u) + -4 Reorder the terms: -40 + 6u = 12 + -4 + 3u Combine like terms: 12 + -4 = 8 -40 + 6u = 8 + 3u Solving -40 + 6u = 8 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -40 + 6u + -3u = 8 + 3u + -3u Combine like terms: 6u + -3u = 3u -40 + 3u = 8 + 3u + -3u Combine like terms: 3u + -3u = 0 -40 + 3u = 8 + 0 -40 + 3u = 8 Add '40' to each side of the equation. -40 + 40 + 3u = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 3u = 8 + 40 3u = 8 + 40 Combine like terms: 8 + 40 = 48 3u = 48 Divide each side by '3'. u = 16 Simplifying u = 16
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