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Simplifying 10 + 17 = 3n + 52 Combine like terms: 10 + 17 = 27 27 = 3n + 52 Reorder the terms: 27 = 52 + 3n Solving 27 = 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. 27 + -3n = 52 + 3n + -3n Combine like terms: 3n + -3n = 0 27 + -3n = 52 + 0 27 + -3n = 52 Add '-27' to each side of the equation. 27 + -27 + -3n = 52 + -27 Combine like terms: 27 + -27 = 0 0 + -3n = 52 + -27 -3n = 52 + -27 Combine like terms: 52 + -27 = 25 -3n = 25 Divide each side by '-3'. n = -8.333333333 Simplifying n = -8.333333333
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