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Simplifying 4u + 10 = -5(u + 7) Reorder the terms: 10 + 4u = -5(u + 7) Reorder the terms: 10 + 4u = -5(7 + u) 10 + 4u = (7 * -5 + u * -5) 10 + 4u = (-35 + -5u) Solving 10 + 4u = -35 + -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. 10 + 4u + 5u = -35 + -5u + 5u Combine like terms: 4u + 5u = 9u 10 + 9u = -35 + -5u + 5u Combine like terms: -5u + 5u = 0 10 + 9u = -35 + 0 10 + 9u = -35 Add '-10' to each side of the equation. 10 + -10 + 9u = -35 + -10 Combine like terms: 10 + -10 = 0 0 + 9u = -35 + -10 9u = -35 + -10 Combine like terms: -35 + -10 = -45 9u = -45 Divide each side by '9'. u = -5 Simplifying u = -5
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