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Simplifying 2n + 65 = 7n + 10 Reorder the terms: 65 + 2n = 7n + 10 Reorder the terms: 65 + 2n = 10 + 7n Solving 65 + 2n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 65 + 2n + -7n = 10 + 7n + -7n Combine like terms: 2n + -7n = -5n 65 + -5n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 65 + -5n = 10 + 0 65 + -5n = 10 Add '-65' to each side of the equation. 65 + -65 + -5n = 10 + -65 Combine like terms: 65 + -65 = 0 0 + -5n = 10 + -65 -5n = 10 + -65 Combine like terms: 10 + -65 = -55 -5n = -55 Divide each side by '-5'. n = 11 Simplifying n = 11
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