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Simplifying 45 + 1n = 1282 + -2n Solving 45 + 1n = 1282 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 45 + 1n + 2n = 1282 + -2n + 2n Combine like terms: 1n + 2n = 3n 45 + 3n = 1282 + -2n + 2n Combine like terms: -2n + 2n = 0 45 + 3n = 1282 + 0 45 + 3n = 1282 Add '-45' to each side of the equation. 45 + -45 + 3n = 1282 + -45 Combine like terms: 45 + -45 = 0 0 + 3n = 1282 + -45 3n = 1282 + -45 Combine like terms: 1282 + -45 = 1237 3n = 1237 Divide each side by '3'. n = 412.3333333 Simplifying n = 412.3333333
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