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Simplifying [7u + -1(7 + -9)] + 8u = 81u(4) Combine like terms: 7 + -9 = -2 [7u + -1(-2)] + 8u = 81u(4) Multiply -1 * -2 [7u + 2] + 8u = 81u(4) Reorder the terms: [2 + 7u] + 8u = 81u(4) Remove brackets around [2 + 7u] 2 + 7u + 8u = 81u(4) Combine like terms: 7u + 8u = 15u 2 + 15u = 81u(4) Reorder the terms for easier multiplication: 2 + 15u = 81 * 4u Multiply 81 * 4 2 + 15u = 324u Solving 2 + 15u = 324u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-324u' to each side of the equation. 2 + 15u + -324u = 324u + -324u Combine like terms: 15u + -324u = -309u 2 + -309u = 324u + -324u Combine like terms: 324u + -324u = 0 2 + -309u = 0 Add '-2' to each side of the equation. 2 + -2 + -309u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -309u = 0 + -2 -309u = 0 + -2 Combine like terms: 0 + -2 = -2 -309u = -2 Divide each side by '-309'. u = 0.006472491909 Simplifying u = 0.006472491909
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