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Simplifying 2(4n + -5) = 3n + 10 Reorder the terms: 2(-5 + 4n) = 3n + 10 (-5 * 2 + 4n * 2) = 3n + 10 (-10 + 8n) = 3n + 10 Reorder the terms: -10 + 8n = 10 + 3n Solving -10 + 8n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 8n + -3n = 10 + 3n + -3n Combine like terms: 8n + -3n = 5n -10 + 5n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 5n = 10 + 0 -10 + 5n = 10 Add '10' to each side of the equation. -10 + 10 + 5n = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = 10 + 10 5n = 10 + 10 Combine like terms: 10 + 10 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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