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Simplifying -6(1 + 3n) = -36 + -8n (1 * -6 + 3n * -6) = -36 + -8n (-6 + -18n) = -36 + -8n Solving -6 + -18n = -36 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -6 + -18n + 8n = -36 + -8n + 8n Combine like terms: -18n + 8n = -10n -6 + -10n = -36 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + -10n = -36 + 0 -6 + -10n = -36 Add '6' to each side of the equation. -6 + 6 + -10n = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -10n = -36 + 6 -10n = -36 + 6 Combine like terms: -36 + 6 = -30 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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