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Simplifying 7u + 19 = 3(u + 5) Reorder the terms: 19 + 7u = 3(u + 5) Reorder the terms: 19 + 7u = 3(5 + u) 19 + 7u = (5 * 3 + u * 3) 19 + 7u = (15 + 3u) Solving 19 + 7u = 15 + 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. 19 + 7u + -3u = 15 + 3u + -3u Combine like terms: 7u + -3u = 4u 19 + 4u = 15 + 3u + -3u Combine like terms: 3u + -3u = 0 19 + 4u = 15 + 0 19 + 4u = 15 Add '-19' to each side of the equation. 19 + -19 + 4u = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 4u = 15 + -19 4u = 15 + -19 Combine like terms: 15 + -19 = -4 4u = -4 Divide each side by '4'. u = -1 Simplifying u = -1
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