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Simplifying 4n + 19 = 2n + 29 Reorder the terms: 19 + 4n = 2n + 29 Reorder the terms: 19 + 4n = 29 + 2n Solving 19 + 4n = 29 + 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. 19 + 4n + -2n = 29 + 2n + -2n Combine like terms: 4n + -2n = 2n 19 + 2n = 29 + 2n + -2n Combine like terms: 2n + -2n = 0 19 + 2n = 29 + 0 19 + 2n = 29 Add '-19' to each side of the equation. 19 + -19 + 2n = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 29 + -19 2n = 29 + -19 Combine like terms: 29 + -19 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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