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Simplifying 2(4 + 2n) = n(3 + 4) (4 * 2 + 2n * 2) = n(3 + 4) (8 + 4n) = n(3 + 4) Combine like terms: 3 + 4 = 7 8 + 4n = n(7) Reorder the terms for easier multiplication: 8 + 4n = 7n Solving 8 + 4n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 8 + 4n + -7n = 7n + -7n Combine like terms: 4n + -7n = -3n 8 + -3n = 7n + -7n Combine like terms: 7n + -7n = 0 8 + -3n = 0 Add '-8' to each side of the equation. 8 + -8 + -3n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = 0 + -8 -3n = 0 + -8 Combine like terms: 0 + -8 = -8 -3n = -8 Divide each side by '-3'. n = 2.666666667 Simplifying n = 2.666666667
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