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Simplifying 3n + 19 = 4n + 14 Reorder the terms: 19 + 3n = 4n + 14 Reorder the terms: 19 + 3n = 14 + 4n Solving 19 + 3n = 14 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 19 + 3n + -4n = 14 + 4n + -4n Combine like terms: 3n + -4n = -1n 19 + -1n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 19 + -1n = 14 + 0 19 + -1n = 14 Add '-19' to each side of the equation. 19 + -19 + -1n = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = 14 + -19 -1n = 14 + -19 Combine like terms: 14 + -19 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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