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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 = 69 7n = 69 Divide each side by '7'. n = 9.857142857 Simplifying n = 9.857142857
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