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Simplifying 2(n + -2) + 3n = 41 Reorder the terms: 2(-2 + n) + 3n = 41 (-2 * 2 + n * 2) + 3n = 41 (-4 + 2n) + 3n = 41 Combine like terms: 2n + 3n = 5n -4 + 5n = 41 Solving -4 + 5n = 41 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5n = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 5n = 41 + 4 5n = 41 + 4 Combine like terms: 41 + 4 = 45 5n = 45 Divide each side by '5'. n = 9 Simplifying n = 9
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