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Simplifying -2(6n + -6) = 8(n + 4) Reorder the terms: -2(-6 + 6n) = 8(n + 4) (-6 * -2 + 6n * -2) = 8(n + 4) (12 + -12n) = 8(n + 4) Reorder the terms: 12 + -12n = 8(4 + n) 12 + -12n = (4 * 8 + n * 8) 12 + -12n = (32 + 8n) Solving 12 + -12n = 32 + 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. 12 + -12n + -8n = 32 + 8n + -8n Combine like terms: -12n + -8n = -20n 12 + -20n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -20n = 32 + 0 12 + -20n = 32 Add '-12' to each side of the equation. 12 + -12 + -20n = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -20n = 32 + -12 -20n = 32 + -12 Combine like terms: 32 + -12 = 20 -20n = 20 Divide each side by '-20'. n = -1 Simplifying n = -1
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