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Simplifying 6 + 19n + -2 = 8n + 49 + -4n Reorder the terms: 6 + -2 + 19n = 8n + 49 + -4n Combine like terms: 6 + -2 = 4 4 + 19n = 8n + 49 + -4n Reorder the terms: 4 + 19n = 49 + 8n + -4n Combine like terms: 8n + -4n = 4n 4 + 19n = 49 + 4n Solving 4 + 19n = 49 + 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. 4 + 19n + -4n = 49 + 4n + -4n Combine like terms: 19n + -4n = 15n 4 + 15n = 49 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + 15n = 49 + 0 4 + 15n = 49 Add '-4' to each side of the equation. 4 + -4 + 15n = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 15n = 49 + -4 15n = 49 + -4 Combine like terms: 49 + -4 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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