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Simplifying 4(2n + -9) = 3n + 10 Reorder the terms: 4(-9 + 2n) = 3n + 10 (-9 * 4 + 2n * 4) = 3n + 10 (-36 + 8n) = 3n + 10 Reorder the terms: -36 + 8n = 10 + 3n Solving -36 + 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. -36 + 8n + -3n = 10 + 3n + -3n Combine like terms: 8n + -3n = 5n -36 + 5n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -36 + 5n = 10 + 0 -36 + 5n = 10 Add '36' to each side of the equation. -36 + 36 + 5n = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 5n = 10 + 36 5n = 10 + 36 Combine like terms: 10 + 36 = 46 5n = 46 Divide each side by '5'. n = 9.2 Simplifying n = 9.2
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