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Simplifying 5n + 21 = 2n + 19 Reorder the terms: 21 + 5n = 2n + 19 Reorder the terms: 21 + 5n = 19 + 2n Solving 21 + 5n = 19 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 21 + 5n + -2n = 19 + 2n + -2n Combine like terms: 5n + -2n = 3n 21 + 3n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 21 + 3n = 19 + 0 21 + 3n = 19 Add '-21' to each side of the equation. 21 + -21 + 3n = 19 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 19 + -21 3n = 19 + -21 Combine like terms: 19 + -21 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667
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