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Simplifying -6(2n + 7) = 8n + 18 Reorder the terms: -6(7 + 2n) = 8n + 18 (7 * -6 + 2n * -6) = 8n + 18 (-42 + -12n) = 8n + 18 Reorder the terms: -42 + -12n = 18 + 8n Solving -42 + -12n = 18 + 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. -42 + -12n + -8n = 18 + 8n + -8n Combine like terms: -12n + -8n = -20n -42 + -20n = 18 + 8n + -8n Combine like terms: 8n + -8n = 0 -42 + -20n = 18 + 0 -42 + -20n = 18 Add '42' to each side of the equation. -42 + 42 + -20n = 18 + 42 Combine like terms: -42 + 42 = 0 0 + -20n = 18 + 42 -20n = 18 + 42 Combine like terms: 18 + 42 = 60 -20n = 60 Divide each side by '-20'. n = -3 Simplifying n = -3
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