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Simplifying 5(2 + u) + -1u = 10 + 4(w + 1) (2 * 5 + u * 5) + -1u = 10 + 4(w + 1) (10 + 5u) + -1u = 10 + 4(w + 1) Combine like terms: 5u + -1u = 4u 10 + 4u = 10 + 4(w + 1) Reorder the terms: 10 + 4u = 10 + 4(1 + w) 10 + 4u = 10 + (1 * 4 + w * 4) 10 + 4u = 10 + (4 + 4w) Combine like terms: 10 + 4 = 14 10 + 4u = 14 + 4w Solving 10 + 4u = 14 + 4w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4u = 14 + -10 + 4w Combine like terms: 10 + -10 = 0 0 + 4u = 14 + -10 + 4w 4u = 14 + -10 + 4w Combine like terms: 14 + -10 = 4 4u = 4 + 4w Divide each side by '4'. u = 1 + w Simplifying u = 1 + w
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