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Simplifying 10(1 + -10n) + 10(9n + -10) = 0 (1 * 10 + -10n * 10) + 10(9n + -10) = 0 (10 + -100n) + 10(9n + -10) = 0 Reorder the terms: 10 + -100n + 10(-10 + 9n) = 0 10 + -100n + (-10 * 10 + 9n * 10) = 0 10 + -100n + (-100 + 90n) = 0 Reorder the terms: 10 + -100 + -100n + 90n = 0 Combine like terms: 10 + -100 = -90 -90 + -100n + 90n = 0 Combine like terms: -100n + 90n = -10n -90 + -10n = 0 Solving -90 + -10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -10n = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -10n = 0 + 90 -10n = 0 + 90 Combine like terms: 0 + 90 = 90 -10n = 90 Divide each side by '-10'. n = -9 Simplifying n = -9
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