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Simplifying -3(4n + -6) = 8n + -22 Reorder the terms: -3(-6 + 4n) = 8n + -22 (-6 * -3 + 4n * -3) = 8n + -22 (18 + -12n) = 8n + -22 Reorder the terms: 18 + -12n = -22 + 8n Solving 18 + -12n = -22 + 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. 18 + -12n + -8n = -22 + 8n + -8n Combine like terms: -12n + -8n = -20n 18 + -20n = -22 + 8n + -8n Combine like terms: 8n + -8n = 0 18 + -20n = -22 + 0 18 + -20n = -22 Add '-18' to each side of the equation. 18 + -18 + -20n = -22 + -18 Combine like terms: 18 + -18 = 0 0 + -20n = -22 + -18 -20n = -22 + -18 Combine like terms: -22 + -18 = -40 -20n = -40 Divide each side by '-20'. n = 2 Simplifying n = 2
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