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Simplifying 5n + 4n + 2 = 65 + 2n Reorder the terms: 2 + 5n + 4n = 65 + 2n Combine like terms: 5n + 4n = 9n 2 + 9n = 65 + 2n Solving 2 + 9n = 65 + 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. 2 + 9n + -2n = 65 + 2n + -2n Combine like terms: 9n + -2n = 7n 2 + 7n = 65 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 7n = 65 + 0 2 + 7n = 65 Add '-2' to each side of the equation. 2 + -2 + 7n = 65 + -2 Combine like terms: 2 + -2 = 0 0 + 7n = 65 + -2 7n = 65 + -2 Combine like terms: 65 + -2 = 63 7n = 63 Divide each side by '7'. n = 9 Simplifying n = 9
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