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Simplifying 3(4n + -6) = 8n + -2 Reorder the terms: 3(-6 + 4n) = 8n + -2 (-6 * 3 + 4n * 3) = 8n + -2 (-18 + 12n) = 8n + -2 Reorder the terms: -18 + 12n = -2 + 8n Solving -18 + 12n = -2 + 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 = -2 + 8n + -8n Combine like terms: 12n + -8n = 4n -18 + 4n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 -18 + 4n = -2 + 0 -18 + 4n = -2 Add '18' to each side of the equation. -18 + 18 + 4n = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 4n = -2 + 18 4n = -2 + 18 Combine like terms: -2 + 18 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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