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Simplifying 3(15 + 4n) + -4(5n + -3) = 2 (15 * 3 + 4n * 3) + -4(5n + -3) = 2 (45 + 12n) + -4(5n + -3) = 2 Reorder the terms: 45 + 12n + -4(-3 + 5n) = 2 45 + 12n + (-3 * -4 + 5n * -4) = 2 45 + 12n + (12 + -20n) = 2 Reorder the terms: 45 + 12 + 12n + -20n = 2 Combine like terms: 45 + 12 = 57 57 + 12n + -20n = 2 Combine like terms: 12n + -20n = -8n 57 + -8n = 2 Solving 57 + -8n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -8n = 2 + -57 Combine like terms: 57 + -57 = 0 0 + -8n = 2 + -57 -8n = 2 + -57 Combine like terms: 2 + -57 = -55 -8n = -55 Divide each side by '-8'. n = 6.875 Simplifying n = 6.875
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