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Simplifying 2n + 19 = 5n + 14 Reorder the terms: 19 + 2n = 5n + 14 Reorder the terms: 19 + 2n = 14 + 5n Solving 19 + 2n = 14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 19 + 2n + -5n = 14 + 5n + -5n Combine like terms: 2n + -5n = -3n 19 + -3n = 14 + 5n + -5n Combine like terms: 5n + -5n = 0 19 + -3n = 14 + 0 19 + -3n = 14 Add '-19' to each side of the equation. 19 + -19 + -3n = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -3n = 14 + -19 -3n = 14 + -19 Combine like terms: 14 + -19 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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