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Simplifying 12n + 20n + -6n + 10 = 2n + 10 Reorder the terms: 10 + 12n + 20n + -6n = 2n + 10 Combine like terms: 12n + 20n = 32n 10 + 32n + -6n = 2n + 10 Combine like terms: 32n + -6n = 26n 10 + 26n = 2n + 10 Reorder the terms: 10 + 26n = 10 + 2n Add '-10' to each side of the equation. 10 + -10 + 26n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 0 + 26n = 10 + -10 + 2n 26n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 26n = 0 + 2n 26n = 2n Solving 26n = 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. 26n + -2n = 2n + -2n Combine like terms: 26n + -2n = 24n 24n = 2n + -2n Combine like terms: 2n + -2n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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