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Simplifying -5(-2n + -4) + 5n = -100 Reorder the terms: -5(-4 + -2n) + 5n = -100 (-4 * -5 + -2n * -5) + 5n = -100 (20 + 10n) + 5n = -100 Combine like terms: 10n + 5n = 15n 20 + 15n = -100 Solving 20 + 15n = -100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 15n = -100 + -20 Combine like terms: 20 + -20 = 0 0 + 15n = -100 + -20 15n = -100 + -20 Combine like terms: -100 + -20 = -120 15n = -120 Divide each side by '15'. n = -8 Simplifying n = -8
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