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Simplifying 4(2n + -50) = 3n + 10 Reorder the terms: 4(-50 + 2n) = 3n + 10 (-50 * 4 + 2n * 4) = 3n + 10 (-200 + 8n) = 3n + 10 Reorder the terms: -200 + 8n = 10 + 3n Solving -200 + 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. -200 + 8n + -3n = 10 + 3n + -3n Combine like terms: 8n + -3n = 5n -200 + 5n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -200 + 5n = 10 + 0 -200 + 5n = 10 Add '200' to each side of the equation. -200 + 200 + 5n = 10 + 200 Combine like terms: -200 + 200 = 0 0 + 5n = 10 + 200 5n = 10 + 200 Combine like terms: 10 + 200 = 210 5n = 210 Divide each side by '5'. n = 42 Simplifying n = 42
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