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Simplifying 5n + 65 = 2n + 206 Reorder the terms: 65 + 5n = 2n + 206 Reorder the terms: 65 + 5n = 206 + 2n Solving 65 + 5n = 206 + 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. 65 + 5n + -2n = 206 + 2n + -2n Combine like terms: 5n + -2n = 3n 65 + 3n = 206 + 2n + -2n Combine like terms: 2n + -2n = 0 65 + 3n = 206 + 0 65 + 3n = 206 Add '-65' to each side of the equation. 65 + -65 + 3n = 206 + -65 Combine like terms: 65 + -65 = 0 0 + 3n = 206 + -65 3n = 206 + -65 Combine like terms: 206 + -65 = 141 3n = 141 Divide each side by '3'. n = 47 Simplifying n = 47
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