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Simplifying -1n + 6(5n + 2) = 12 + 2n Reorder the terms: -1n + 6(2 + 5n) = 12 + 2n -1n + (2 * 6 + 5n * 6) = 12 + 2n -1n + (12 + 30n) = 12 + 2n Reorder the terms: 12 + -1n + 30n = 12 + 2n Combine like terms: -1n + 30n = 29n 12 + 29n = 12 + 2n Add '-12' to each side of the equation. 12 + -12 + 29n = 12 + -12 + 2n Combine like terms: 12 + -12 = 0 0 + 29n = 12 + -12 + 2n 29n = 12 + -12 + 2n Combine like terms: 12 + -12 = 0 29n = 0 + 2n 29n = 2n Solving 29n = 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. 29n + -2n = 2n + -2n Combine like terms: 29n + -2n = 27n 27n = 2n + -2n Combine like terms: 2n + -2n = 0 27n = 0 Divide each side by '27'. n = 0 Simplifying n = 0
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