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Simplifying 5(u + 10) = 29 + -7(5u + -3) + 39u Reorder the terms: 5(10 + u) = 29 + -7(5u + -3) + 39u (10 * 5 + u * 5) = 29 + -7(5u + -3) + 39u (50 + 5u) = 29 + -7(5u + -3) + 39u Reorder the terms: 50 + 5u = 29 + -7(-3 + 5u) + 39u 50 + 5u = 29 + (-3 * -7 + 5u * -7) + 39u 50 + 5u = 29 + (21 + -35u) + 39u Combine like terms: 29 + 21 = 50 50 + 5u = 50 + -35u + 39u Combine like terms: -35u + 39u = 4u 50 + 5u = 50 + 4u Add '-50' to each side of the equation. 50 + -50 + 5u = 50 + -50 + 4u Combine like terms: 50 + -50 = 0 0 + 5u = 50 + -50 + 4u 5u = 50 + -50 + 4u Combine like terms: 50 + -50 = 0 5u = 0 + 4u 5u = 4u Solving 5u = 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 5u + -4u = 4u + -4u Combine like terms: 5u + -4u = 1u 1u = 4u + -4u Combine like terms: 4u + -4u = 0 1u = 0 Divide each side by '1'. u = 0 Simplifying u = 0
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