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Simplifying 5u + 3 = 7(u + 1) Reorder the terms: 3 + 5u = 7(u + 1) Reorder the terms: 3 + 5u = 7(1 + u) 3 + 5u = (1 * 7 + u * 7) 3 + 5u = (7 + 7u) Solving 3 + 5u = 7 + 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. 3 + 5u + -7u = 7 + 7u + -7u Combine like terms: 5u + -7u = -2u 3 + -2u = 7 + 7u + -7u Combine like terms: 7u + -7u = 0 3 + -2u = 7 + 0 3 + -2u = 7 Add '-3' to each side of the equation. 3 + -3 + -2u = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2u = 7 + -3 -2u = 7 + -3 Combine like terms: 7 + -3 = 4 -2u = 4 Divide each side by '-2'. u = -2 Simplifying u = -2
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