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Simplifying 4n + 19 = 5n + 17 Reorder the terms: 19 + 4n = 5n + 17 Reorder the terms: 19 + 4n = 17 + 5n Solving 19 + 4n = 17 + 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 + 4n + -5n = 17 + 5n + -5n Combine like terms: 4n + -5n = -1n 19 + -1n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 19 + -1n = 17 + 0 19 + -1n = 17 Add '-19' to each side of the equation. 19 + -19 + -1n = 17 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = 17 + -19 -1n = 17 + -19 Combine like terms: 17 + -19 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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