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Simplifying 5 + 14u = 8(7u + 20) + 13 Reorder the terms: 5 + 14u = 8(20 + 7u) + 13 5 + 14u = (20 * 8 + 7u * 8) + 13 5 + 14u = (160 + 56u) + 13 Reorder the terms: 5 + 14u = 160 + 13 + 56u Combine like terms: 160 + 13 = 173 5 + 14u = 173 + 56u Solving 5 + 14u = 173 + 56u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-56u' to each side of the equation. 5 + 14u + -56u = 173 + 56u + -56u Combine like terms: 14u + -56u = -42u 5 + -42u = 173 + 56u + -56u Combine like terms: 56u + -56u = 0 5 + -42u = 173 + 0 5 + -42u = 173 Add '-5' to each side of the equation. 5 + -5 + -42u = 173 + -5 Combine like terms: 5 + -5 = 0 0 + -42u = 173 + -5 -42u = 173 + -5 Combine like terms: 173 + -5 = 168 -42u = 168 Divide each side by '-42'. u = -4 Simplifying u = -4
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