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Simplifying 12n + -4n + -6n + 4n + -5 = 19 Reorder the terms: -5 + 12n + -4n + -6n + 4n = 19 Combine like terms: 12n + -4n = 8n -5 + 8n + -6n + 4n = 19 Combine like terms: 8n + -6n = 2n -5 + 2n + 4n = 19 Combine like terms: 2n + 4n = 6n -5 + 6n = 19 Solving -5 + 6n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6n = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 19 + 5 6n = 19 + 5 Combine like terms: 19 + 5 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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