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Simplifying -12 + -8n = -6n + -4(2n + -6) Reorder the terms: -12 + -8n = -6n + -4(-6 + 2n) -12 + -8n = -6n + (-6 * -4 + 2n * -4) -12 + -8n = -6n + (24 + -8n) Reorder the terms: -12 + -8n = 24 + -6n + -8n Combine like terms: -6n + -8n = -14n -12 + -8n = 24 + -14n Solving -12 + -8n = 24 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -12 + -8n + 14n = 24 + -14n + 14n Combine like terms: -8n + 14n = 6n -12 + 6n = 24 + -14n + 14n Combine like terms: -14n + 14n = 0 -12 + 6n = 24 + 0 -12 + 6n = 24 Add '12' to each side of the equation. -12 + 12 + 6n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 24 + 12 6n = 24 + 12 Combine like terms: 24 + 12 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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