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Simplifying 15u + 30 + -6u + 36 = 5u + 20 + 30 Reorder the terms: 30 + 36 + 15u + -6u = 5u + 20 + 30 Combine like terms: 30 + 36 = 66 66 + 15u + -6u = 5u + 20 + 30 Combine like terms: 15u + -6u = 9u 66 + 9u = 5u + 20 + 30 Reorder the terms: 66 + 9u = 20 + 30 + 5u Combine like terms: 20 + 30 = 50 66 + 9u = 50 + 5u Solving 66 + 9u = 50 + 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. 66 + 9u + -5u = 50 + 5u + -5u Combine like terms: 9u + -5u = 4u 66 + 4u = 50 + 5u + -5u Combine like terms: 5u + -5u = 0 66 + 4u = 50 + 0 66 + 4u = 50 Add '-66' to each side of the equation. 66 + -66 + 4u = 50 + -66 Combine like terms: 66 + -66 = 0 0 + 4u = 50 + -66 4u = 50 + -66 Combine like terms: 50 + -66 = -16 4u = -16 Divide each side by '4'. u = -4 Simplifying u = -4
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