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Simplifying 4 + -6(1 + -2n) = 4(1 + n) + 2 4 + (1 * -6 + -2n * -6) = 4(1 + n) + 2 4 + (-6 + 12n) = 4(1 + n) + 2 Combine like terms: 4 + -6 = -2 -2 + 12n = 4(1 + n) + 2 -2 + 12n = (1 * 4 + n * 4) + 2 -2 + 12n = (4 + 4n) + 2 Reorder the terms: -2 + 12n = 4 + 2 + 4n Combine like terms: 4 + 2 = 6 -2 + 12n = 6 + 4n Solving -2 + 12n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -2 + 12n + -4n = 6 + 4n + -4n Combine like terms: 12n + -4n = 8n -2 + 8n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + 8n = 6 + 0 -2 + 8n = 6 Add '2' to each side of the equation. -2 + 2 + 8n = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = 6 + 2 8n = 6 + 2 Combine like terms: 6 + 2 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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