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Simplifying 45 + 4n = 61 + 2n Solving 45 + 4n = 61 + 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 + 4n + -2n = 61 + 2n + -2n Combine like terms: 4n + -2n = 2n 45 + 2n = 61 + 2n + -2n Combine like terms: 2n + -2n = 0 45 + 2n = 61 + 0 45 + 2n = 61 Add '-45' to each side of the equation. 45 + -45 + 2n = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2n = 61 + -45 2n = 61 + -45 Combine like terms: 61 + -45 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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