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Simplifying 10(8n + -5) + 9(10 + -10n) = 0 Reorder the terms: 10(-5 + 8n) + 9(10 + -10n) = 0 (-5 * 10 + 8n * 10) + 9(10 + -10n) = 0 (-50 + 80n) + 9(10 + -10n) = 0 -50 + 80n + (10 * 9 + -10n * 9) = 0 -50 + 80n + (90 + -90n) = 0 Reorder the terms: -50 + 90 + 80n + -90n = 0 Combine like terms: -50 + 90 = 40 40 + 80n + -90n = 0 Combine like terms: 80n + -90n = -10n 40 + -10n = 0 Solving 40 + -10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -10n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10n = 0 + -40 -10n = 0 + -40 Combine like terms: 0 + -40 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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