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Simplifying -12 = -2(-5 + -2n) + -6(1 + 2n) -12 = (-5 * -2 + -2n * -2) + -6(1 + 2n) -12 = (10 + 4n) + -6(1 + 2n) -12 = 10 + 4n + (1 * -6 + 2n * -6) -12 = 10 + 4n + (-6 + -12n) Reorder the terms: -12 = 10 + -6 + 4n + -12n Combine like terms: 10 + -6 = 4 -12 = 4 + 4n + -12n Combine like terms: 4n + -12n = -8n -12 = 4 + -8n Solving -12 = 4 + -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 + 8n = 4 + -8n + 8n Combine like terms: -8n + 8n = 0 -12 + 8n = 4 + 0 -12 + 8n = 4 Add '12' to each side of the equation. -12 + 12 + 8n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 4 + 12 8n = 4 + 12 Combine like terms: 4 + 12 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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