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Simplifying -3(1 + -4n) + -2 = -101 (1 * -3 + -4n * -3) + -2 = -101 (-3 + 12n) + -2 = -101 Reorder the terms: -3 + -2 + 12n = -101 Combine like terms: -3 + -2 = -5 -5 + 12n = -101 Solving -5 + 12n = -101 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12n = -101 + 5 Combine like terms: -5 + 5 = 0 0 + 12n = -101 + 5 12n = -101 + 5 Combine like terms: -101 + 5 = -96 12n = -96 Divide each side by '12'. n = -8 Simplifying n = -8
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