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Simplifying 5n + 4 = 45 + -2n Reorder the terms: 4 + 5n = 45 + -2n Solving 4 + 5n = 45 + -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. 4 + 5n + 2n = 45 + -2n + 2n Combine like terms: 5n + 2n = 7n 4 + 7n = 45 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 7n = 45 + 0 4 + 7n = 45 Add '-4' to each side of the equation. 4 + -4 + 7n = 45 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 45 + -4 7n = 45 + -4 Combine like terms: 45 + -4 = 41 7n = 41 Divide each side by '7'. n = 5.857142857 Simplifying n = 5.857142857
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