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Simplifying -4(1 + -3n) + -5 = 51 (1 * -4 + -3n * -4) + -5 = 51 (-4 + 12n) + -5 = 51 Reorder the terms: -4 + -5 + 12n = 51 Combine like terms: -4 + -5 = -9 -9 + 12n = 51 Solving -9 + 12n = 51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12n = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 12n = 51 + 9 12n = 51 + 9 Combine like terms: 51 + 9 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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