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Simplifying 3(n + 4) = 84 + -1n Reorder the terms: 3(4 + n) = 84 + -1n (4 * 3 + n * 3) = 84 + -1n (12 + 3n) = 84 + -1n Solving 12 + 3n = 84 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + 3n + n = 84 + -1n + n Combine like terms: 3n + n = 4n 12 + 4n = 84 + -1n + n Combine like terms: -1n + n = 0 12 + 4n = 84 + 0 12 + 4n = 84 Add '-12' to each side of the equation. 12 + -12 + 4n = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 84 + -12 4n = 84 + -12 Combine like terms: 84 + -12 = 72 4n = 72 Divide each side by '4'. n = 18 Simplifying n = 18
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