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Simplifying 6n + -1n + -4n + 5n + 1 = 19 Reorder the terms: 1 + 6n + -1n + -4n + 5n = 19 Combine like terms: 6n + -1n = 5n 1 + 5n + -4n + 5n = 19 Combine like terms: 5n + -4n = 1n 1 + 1n + 5n = 19 Combine like terms: 1n + 5n = 6n 1 + 6n = 19 Solving 1 + 6n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6n = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 19 + -1 6n = 19 + -1 Combine like terms: 19 + -1 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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