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