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Simplifying 3 + 19n + -1 = 8n + 32 + -4n Reorder the terms: 3 + -1 + 19n = 8n + 32 + -4n Combine like terms: 3 + -1 = 2 2 + 19n = 8n + 32 + -4n Reorder the terms: 2 + 19n = 32 + 8n + -4n Combine like terms: 8n + -4n = 4n 2 + 19n = 32 + 4n Solving 2 + 19n = 32 + 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. 2 + 19n + -4n = 32 + 4n + -4n Combine like terms: 19n + -4n = 15n 2 + 15n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 15n = 32 + 0 2 + 15n = 32 Add '-2' to each side of the equation. 2 + -2 + 15n = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 15n = 32 + -2 15n = 32 + -2 Combine like terms: 32 + -2 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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