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Simplifying 3n + 4 = 19 + -2n Reorder the terms: 4 + 3n = 19 + -2n Solving 4 + 3n = 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. 4 + 3n + 2n = 19 + -2n + 2n Combine like terms: 3n + 2n = 5n 4 + 5n = 19 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 5n = 19 + 0 4 + 5n = 19 Add '-4' to each side of the equation. 4 + -4 + 5n = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 19 + -4 5n = 19 + -4 Combine like terms: 19 + -4 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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