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Simplifying 3(n + 2) = 8 + 4n Reorder the terms: 3(2 + n) = 8 + 4n (2 * 3 + n * 3) = 8 + 4n (6 + 3n) = 8 + 4n Solving 6 + 3n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 6 + 3n + -4n = 8 + 4n + -4n Combine like terms: 3n + -4n = -1n 6 + -1n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + -1n = 8 + 0 6 + -1n = 8 Add '-6' to each side of the equation. 6 + -6 + -1n = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 8 + -6 -1n = 8 + -6 Combine like terms: 8 + -6 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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