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Simplifying -84 = -4(3n + 3) Reorder the terms: -84 = -4(3 + 3n) -84 = (3 * -4 + 3n * -4) -84 = (-12 + -12n) Solving -84 = -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. -84 + 12n = -12 + -12n + 12n Combine like terms: -12n + 12n = 0 -84 + 12n = -12 + 0 -84 + 12n = -12 Add '84' to each side of the equation. -84 + 84 + 12n = -12 + 84 Combine like terms: -84 + 84 = 0 0 + 12n = -12 + 84 12n = -12 + 84 Combine like terms: -12 + 84 = 72 12n = 72 Divide each side by '12'. n = 6 Simplifying n = 6
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