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Simplifying 2n + 6 = 18 + -4n Reorder the terms: 6 + 2n = 18 + -4n Solving 6 + 2n = 18 + -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 + 2n + 4n = 18 + -4n + 4n Combine like terms: 2n + 4n = 6n 6 + 6n = 18 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 6n = 18 + 0 6 + 6n = 18 Add '-6' to each side of the equation. 6 + -6 + 6n = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 18 + -6 6n = 18 + -6 Combine like terms: 18 + -6 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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