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Simplifying 7 = -8u + 3(u + 4) Reorder the terms: 7 = -8u + 3(4 + u) 7 = -8u + (4 * 3 + u * 3) 7 = -8u + (12 + 3u) Reorder the terms: 7 = 12 + -8u + 3u Combine like terms: -8u + 3u = -5u 7 = 12 + -5u Solving 7 = 12 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 7 + 5u = 12 + -5u + 5u Combine like terms: -5u + 5u = 0 7 + 5u = 12 + 0 7 + 5u = 12 Add '-7' to each side of the equation. 7 + -7 + 5u = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5u = 12 + -7 5u = 12 + -7 Combine like terms: 12 + -7 = 5 5u = 5 Divide each side by '5'. u = 1 Simplifying u = 1
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