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Simplifying 7n + -19 = 4n + 41 Reorder the terms: -19 + 7n = 4n + 41 Reorder the terms: -19 + 7n = 41 + 4n Solving -19 + 7n = 41 + 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 + 7n + -4n = 41 + 4n + -4n Combine like terms: 7n + -4n = 3n -19 + 3n = 41 + 4n + -4n Combine like terms: 4n + -4n = 0 -19 + 3n = 41 + 0 -19 + 3n = 41 Add '19' to each side of the equation. -19 + 19 + 3n = 41 + 19 Combine like terms: -19 + 19 = 0 0 + 3n = 41 + 19 3n = 41 + 19 Combine like terms: 41 + 19 = 60 3n = 60 Divide each side by '3'. n = 20 Simplifying n = 20
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