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Simplifying 8 + -1(2n + -6) = 2 + -3n Reorder the terms: 8 + -1(-6 + 2n) = 2 + -3n 8 + (-6 * -1 + 2n * -1) = 2 + -3n 8 + (6 + -2n) = 2 + -3n Combine like terms: 8 + 6 = 14 14 + -2n = 2 + -3n Solving 14 + -2n = 2 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 14 + -2n + 3n = 2 + -3n + 3n Combine like terms: -2n + 3n = 1n 14 + 1n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 1n = 2 + 0 14 + 1n = 2 Add '-14' to each side of the equation. 14 + -14 + 1n = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 2 + -14 1n = 2 + -14 Combine like terms: 2 + -14 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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