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Simplifying 4u + 49 = 7(u + 4) Reorder the terms: 49 + 4u = 7(u + 4) Reorder the terms: 49 + 4u = 7(4 + u) 49 + 4u = (4 * 7 + u * 7) 49 + 4u = (28 + 7u) Solving 49 + 4u = 28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 49 + 4u + -7u = 28 + 7u + -7u Combine like terms: 4u + -7u = -3u 49 + -3u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 49 + -3u = 28 + 0 49 + -3u = 28 Add '-49' to each side of the equation. 49 + -49 + -3u = 28 + -49 Combine like terms: 49 + -49 = 0 0 + -3u = 28 + -49 -3u = 28 + -49 Combine like terms: 28 + -49 = -21 -3u = -21 Divide each side by '-3'. u = 7 Simplifying u = 7
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