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Simplifying 4n + 2n + 20 = 32 + 2n Reorder the terms: 20 + 4n + 2n = 32 + 2n Combine like terms: 4n + 2n = 6n 20 + 6n = 32 + 2n Solving 20 + 6n = 32 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 20 + 6n + -2n = 32 + 2n + -2n Combine like terms: 6n + -2n = 4n 20 + 4n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 20 + 4n = 32 + 0 20 + 4n = 32 Add '-20' to each side of the equation. 20 + -20 + 4n = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 4n = 32 + -20 4n = 32 + -20 Combine like terms: 32 + -20 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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