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Simplifying 10n + 17 = 3n + 52 Reorder the terms: 17 + 10n = 3n + 52 Reorder the terms: 17 + 10n = 52 + 3n Solving 17 + 10n = 52 + 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. 17 + 10n + -3n = 52 + 3n + -3n Combine like terms: 10n + -3n = 7n 17 + 7n = 52 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + 7n = 52 + 0 17 + 7n = 52 Add '-17' to each side of the equation. 17 + -17 + 7n = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 7n = 52 + -17 7n = 52 + -17 Combine like terms: 52 + -17 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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