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Simplifying 4u + 10 = 7(u + 4) Reorder the terms: 10 + 4u = 7(u + 4) Reorder the terms: 10 + 4u = 7(4 + u) 10 + 4u = (4 * 7 + u * 7) 10 + 4u = (28 + 7u) Solving 10 + 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. 10 + 4u + -7u = 28 + 7u + -7u Combine like terms: 4u + -7u = -3u 10 + -3u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 10 + -3u = 28 + 0 10 + -3u = 28 Add '-10' to each side of the equation. 10 + -10 + -3u = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -3u = 28 + -10 -3u = 28 + -10 Combine like terms: 28 + -10 = 18 -3u = 18 Divide each side by '-3'. u = -6 Simplifying u = -6
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