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Simplifying 5(u + 6) = -3(4u + -5) + 7u Reorder the terms: 5(6 + u) = -3(4u + -5) + 7u (6 * 5 + u * 5) = -3(4u + -5) + 7u (30 + 5u) = -3(4u + -5) + 7u Reorder the terms: 30 + 5u = -3(-5 + 4u) + 7u 30 + 5u = (-5 * -3 + 4u * -3) + 7u 30 + 5u = (15 + -12u) + 7u Combine like terms: -12u + 7u = -5u 30 + 5u = 15 + -5u Solving 30 + 5u = 15 + -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. 30 + 5u + 5u = 15 + -5u + 5u Combine like terms: 5u + 5u = 10u 30 + 10u = 15 + -5u + 5u Combine like terms: -5u + 5u = 0 30 + 10u = 15 + 0 30 + 10u = 15 Add '-30' to each side of the equation. 30 + -30 + 10u = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 10u = 15 + -30 10u = 15 + -30 Combine like terms: 15 + -30 = -15 10u = -15 Divide each side by '10'. u = -1.5 Simplifying u = -1.5
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