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Simplifying 2n + -2(4n + 5) = 4(5x + 3) Reorder the terms: 2n + -2(5 + 4n) = 4(5x + 3) 2n + (5 * -2 + 4n * -2) = 4(5x + 3) 2n + (-10 + -8n) = 4(5x + 3) Reorder the terms: -10 + 2n + -8n = 4(5x + 3) Combine like terms: 2n + -8n = -6n -10 + -6n = 4(5x + 3) Reorder the terms: -10 + -6n = 4(3 + 5x) -10 + -6n = (3 * 4 + 5x * 4) -10 + -6n = (12 + 20x) Solving -10 + -6n = 12 + 20x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -6n = 12 + 10 + 20x Combine like terms: -10 + 10 = 0 0 + -6n = 12 + 10 + 20x -6n = 12 + 10 + 20x Combine like terms: 12 + 10 = 22 -6n = 22 + 20x Divide each side by '-6'. n = -3.666666667 + -3.333333333x Simplifying n = -3.666666667 + -3.333333333x
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