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Simplifying 21n + 14 = 14n + 42 Reorder the terms: 14 + 21n = 14n + 42 Reorder the terms: 14 + 21n = 42 + 14n Solving 14 + 21n = 42 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 14 + 21n + -14n = 42 + 14n + -14n Combine like terms: 21n + -14n = 7n 14 + 7n = 42 + 14n + -14n Combine like terms: 14n + -14n = 0 14 + 7n = 42 + 0 14 + 7n = 42 Add '-14' to each side of the equation. 14 + -14 + 7n = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 42 + -14 7n = 42 + -14 Combine like terms: 42 + -14 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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