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Simplifying 7n + 10 = 3n + 50 Reorder the terms: 10 + 7n = 3n + 50 Reorder the terms: 10 + 7n = 50 + 3n Solving 10 + 7n = 50 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 7n + -3n = 50 + 3n + -3n Combine like terms: 7n + -3n = 4n 10 + 4n = 50 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 4n = 50 + 0 10 + 4n = 50 Add '-10' to each side of the equation. 10 + -10 + 4n = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 50 + -10 4n = 50 + -10 Combine like terms: 50 + -10 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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