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Simplifying 6[7 + -1u] + u = 36 + u [7 * 6 + -1u * 6] + u = 36 + u [42 + -6u] + u = 36 + u Combine like terms: -6u + u = -5u 42 + -5u = 36 + u Solving 42 + -5u = 36 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 42 + -5u + -1u = 36 + u + -1u Combine like terms: -5u + -1u = -6u 42 + -6u = 36 + u + -1u Combine like terms: u + -1u = 0 42 + -6u = 36 + 0 42 + -6u = 36 Add '-42' to each side of the equation. 42 + -42 + -6u = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -6u = 36 + -42 -6u = 36 + -42 Combine like terms: 36 + -42 = -6 -6u = -6 Divide each side by '-6'. u = 1 Simplifying u = 1
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