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Simplifying 4(u + -4) + 5(u + 10) = 25 Reorder the terms: 4(-4 + u) + 5(u + 10) = 25 (-4 * 4 + u * 4) + 5(u + 10) = 25 (-16 + 4u) + 5(u + 10) = 25 Reorder the terms: -16 + 4u + 5(10 + u) = 25 -16 + 4u + (10 * 5 + u * 5) = 25 -16 + 4u + (50 + 5u) = 25 Reorder the terms: -16 + 50 + 4u + 5u = 25 Combine like terms: -16 + 50 = 34 34 + 4u + 5u = 25 Combine like terms: 4u + 5u = 9u 34 + 9u = 25 Solving 34 + 9u = 25 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 9u = 25 + -34 Combine like terms: 34 + -34 = 0 0 + 9u = 25 + -34 9u = 25 + -34 Combine like terms: 25 + -34 = -9 9u = -9 Divide each side by '9'. u = -1 Simplifying u = -1
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