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Simplifying 2n + 19 = 5n + 21 Reorder the terms: 19 + 2n = 5n + 21 Reorder the terms: 19 + 2n = 21 + 5n Solving 19 + 2n = 21 + 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 = 21 + 5n + -5n Combine like terms: 2n + -5n = -3n 19 + -3n = 21 + 5n + -5n Combine like terms: 5n + -5n = 0 19 + -3n = 21 + 0 19 + -3n = 21 Add '-19' to each side of the equation. 19 + -19 + -3n = 21 + -19 Combine like terms: 19 + -19 = 0 0 + -3n = 21 + -19 -3n = 21 + -19 Combine like terms: 21 + -19 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667
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