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Simplifying (3n + -4) * -3 = 84 Reorder the terms: (-4 + 3n) * -3 = 84 Reorder the terms for easier multiplication: -3(-4 + 3n) = 84 (-4 * -3 + 3n * -3) = 84 (12 + -9n) = 84 Solving 12 + -9n = 84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9n = 84 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 84 + -12 -9n = 84 + -12 Combine like terms: 84 + -12 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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