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Simplifying 46 + 2n = 443 + n Solving 46 + 2n = 443 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 46 + 2n + -1n = 443 + n + -1n Combine like terms: 2n + -1n = 1n 46 + 1n = 443 + n + -1n Combine like terms: n + -1n = 0 46 + 1n = 443 + 0 46 + 1n = 443 Add '-46' to each side of the equation. 46 + -46 + 1n = 443 + -46 Combine like terms: 46 + -46 = 0 0 + 1n = 443 + -46 1n = 443 + -46 Combine like terms: 443 + -46 = 397 1n = 397 Divide each side by '1'. n = 397 Simplifying n = 397
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