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Simplifying -12 = 4(-1 + -2n) + 4(1 + -1n) -12 = (-1 * 4 + -2n * 4) + 4(1 + -1n) -12 = (-4 + -8n) + 4(1 + -1n) -12 = -4 + -8n + (1 * 4 + -1n * 4) -12 = -4 + -8n + (4 + -4n) Reorder the terms: -12 = -4 + 4 + -8n + -4n Combine like terms: -4 + 4 = 0 -12 = 0 + -8n + -4n -12 = -8n + -4n Combine like terms: -8n + -4n = -12n -12 = -12n Solving -12 = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -12 + 12n = -12n + 12n Combine like terms: -12n + 12n = 0 -12 + 12n = 0 Add '12' to each side of the equation. -12 + 12 + 12n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12n = 0 + 12 12n = 0 + 12 Combine like terms: 0 + 12 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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