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Simplifying 7n + -3n + 5n + -8 = 19 Reorder the terms: -8 + 7n + -3n + 5n = 19 Combine like terms: 7n + -3n = 4n -8 + 4n + 5n = 19 Combine like terms: 4n + 5n = 9n -8 + 9n = 19 Solving -8 + 9n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9n = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 9n = 19 + 8 9n = 19 + 8 Combine like terms: 19 + 8 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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