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Simplifying -2n + -6(1 + -10n) = -4n + -9(-6 + -8n) -2n + (1 * -6 + -10n * -6) = -4n + -9(-6 + -8n) -2n + (-6 + 60n) = -4n + -9(-6 + -8n) Reorder the terms: -6 + -2n + 60n = -4n + -9(-6 + -8n) Combine like terms: -2n + 60n = 58n -6 + 58n = -4n + -9(-6 + -8n) -6 + 58n = -4n + (-6 * -9 + -8n * -9) -6 + 58n = -4n + (54 + 72n) Reorder the terms: -6 + 58n = 54 + -4n + 72n Combine like terms: -4n + 72n = 68n -6 + 58n = 54 + 68n Solving -6 + 58n = 54 + 68n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68n' to each side of the equation. -6 + 58n + -68n = 54 + 68n + -68n Combine like terms: 58n + -68n = -10n -6 + -10n = 54 + 68n + -68n Combine like terms: 68n + -68n = 0 -6 + -10n = 54 + 0 -6 + -10n = 54 Add '6' to each side of the equation. -6 + 6 + -10n = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -10n = 54 + 6 -10n = 54 + 6 Combine like terms: 54 + 6 = 60 -10n = 60 Divide each side by '-10'. n = -6 Simplifying n = -6
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