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Simplifying 3u + 19 = 7(u + 5) Reorder the terms: 19 + 3u = 7(u + 5) Reorder the terms: 19 + 3u = 7(5 + u) 19 + 3u = (5 * 7 + u * 7) 19 + 3u = (35 + 7u) Solving 19 + 3u = 35 + 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. 19 + 3u + -7u = 35 + 7u + -7u Combine like terms: 3u + -7u = -4u 19 + -4u = 35 + 7u + -7u Combine like terms: 7u + -7u = 0 19 + -4u = 35 + 0 19 + -4u = 35 Add '-19' to each side of the equation. 19 + -19 + -4u = 35 + -19 Combine like terms: 19 + -19 = 0 0 + -4u = 35 + -19 -4u = 35 + -19 Combine like terms: 35 + -19 = 16 -4u = 16 Divide each side by '-4'. u = -4 Simplifying u = -4
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