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Simplifying -5(-5n + 4) + -4(5n + -4) = 16 Reorder the terms: -5(4 + -5n) + -4(5n + -4) = 16 (4 * -5 + -5n * -5) + -4(5n + -4) = 16 (-20 + 25n) + -4(5n + -4) = 16 Reorder the terms: -20 + 25n + -4(-4 + 5n) = 16 -20 + 25n + (-4 * -4 + 5n * -4) = 16 -20 + 25n + (16 + -20n) = 16 Reorder the terms: -20 + 16 + 25n + -20n = 16 Combine like terms: -20 + 16 = -4 -4 + 25n + -20n = 16 Combine like terms: 25n + -20n = 5n -4 + 5n = 16 Solving -4 + 5n = 16 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 = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 5n = 16 + 4 5n = 16 + 4 Combine like terms: 16 + 4 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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