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Simplifying 2(n + 12) = 4(2n + -6) Reorder the terms: 2(12 + n) = 4(2n + -6) (12 * 2 + n * 2) = 4(2n + -6) (24 + 2n) = 4(2n + -6) Reorder the terms: 24 + 2n = 4(-6 + 2n) 24 + 2n = (-6 * 4 + 2n * 4) 24 + 2n = (-24 + 8n) Solving 24 + 2n = -24 + 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. 24 + 2n + -8n = -24 + 8n + -8n Combine like terms: 2n + -8n = -6n 24 + -6n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 24 + -6n = -24 + 0 24 + -6n = -24 Add '-24' to each side of the equation. 24 + -24 + -6n = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6n = -24 + -24 -6n = -24 + -24 Combine like terms: -24 + -24 = -48 -6n = -48 Divide each side by '-6'. n = 8 Simplifying n = 8
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