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Simplifying 84 = 4(4n + 6) + -4n Reorder the terms: 84 = 4(6 + 4n) + -4n 84 = (6 * 4 + 4n * 4) + -4n 84 = (24 + 16n) + -4n Combine like terms: 16n + -4n = 12n 84 = 24 + 12n Solving 84 = 24 + 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 = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 84 + -12n = 24 + 0 84 + -12n = 24 Add '-84' to each side of the equation. 84 + -84 + -12n = 24 + -84 Combine like terms: 84 + -84 = 0 0 + -12n = 24 + -84 -12n = 24 + -84 Combine like terms: 24 + -84 = -60 -12n = -60 Divide each side by '-12'. n = 5 Simplifying n = 5
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