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Simplifying 6(7 + -1u) + u = 36(u + 4) (7 * 6 + -1u * 6) + u = 36(u + 4) (42 + -6u) + u = 36(u + 4) Combine like terms: -6u + u = -5u 42 + -5u = 36(u + 4) Reorder the terms: 42 + -5u = 36(4 + u) 42 + -5u = (4 * 36 + u * 36) 42 + -5u = (144 + 36u) Solving 42 + -5u = 144 + 36u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36u' to each side of the equation. 42 + -5u + -36u = 144 + 36u + -36u Combine like terms: -5u + -36u = -41u 42 + -41u = 144 + 36u + -36u Combine like terms: 36u + -36u = 0 42 + -41u = 144 + 0 42 + -41u = 144 Add '-42' to each side of the equation. 42 + -42 + -41u = 144 + -42 Combine like terms: 42 + -42 = 0 0 + -41u = 144 + -42 -41u = 144 + -42 Combine like terms: 144 + -42 = 102 -41u = 102 Divide each side by '-41'. u = -2.487804878 Simplifying u = -2.487804878
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