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Simplifying (5n + -2)(5n + 2) = -24 Reorder the terms: (-2 + 5n)(5n + 2) = -24 Reorder the terms: (-2 + 5n)(2 + 5n) = -24 Multiply (-2 + 5n) * (2 + 5n) (-2(2 + 5n) + 5n * (2 + 5n)) = -24 ((2 * -2 + 5n * -2) + 5n * (2 + 5n)) = -24 ((-4 + -10n) + 5n * (2 + 5n)) = -24 (-4 + -10n + (2 * 5n + 5n * 5n)) = -24 (-4 + -10n + (10n + 25n2)) = -24 Combine like terms: -10n + 10n = 0 (-4 + 0 + 25n2) = -24 (-4 + 25n2) = -24 Solving -4 + 25n2 = -24 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 + 25n2 = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 25n2 = -24 + 4 25n2 = -24 + 4 Combine like terms: -24 + 4 = -20 25n2 = -20 Divide each side by '25'. n2 = -0.8 Simplifying n2 = -0.8 Reorder the terms: 0.8 + n2 = -0.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.8 + n2 = 0.0 The solution to this equation could not be determined.
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