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