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Simplifying 8n + -33 = 6n + -3(1 + -4n) Reorder the terms: -33 + 8n = 6n + -3(1 + -4n) -33 + 8n = 6n + (1 * -3 + -4n * -3) -33 + 8n = 6n + (-3 + 12n) Reorder the terms: -33 + 8n = -3 + 6n + 12n Combine like terms: 6n + 12n = 18n -33 + 8n = -3 + 18n Solving -33 + 8n = -3 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -33 + 8n + -18n = -3 + 18n + -18n Combine like terms: 8n + -18n = -10n -33 + -10n = -3 + 18n + -18n Combine like terms: 18n + -18n = 0 -33 + -10n = -3 + 0 -33 + -10n = -3 Add '33' to each side of the equation. -33 + 33 + -10n = -3 + 33 Combine like terms: -33 + 33 = 0 0 + -10n = -3 + 33 -10n = -3 + 33 Combine like terms: -3 + 33 = 30 -10n = 30 Divide each side by '-10'. n = -3 Simplifying n = -3
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