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Simplifying -6 + -1(-1n + 6) = 2 + -6n Reorder the terms: -6 + -1(6 + -1n) = 2 + -6n -6 + (6 * -1 + -1n * -1) = 2 + -6n -6 + (-6 + 1n) = 2 + -6n Combine like terms: -6 + -6 = -12 -12 + 1n = 2 + -6n Solving -12 + 1n = 2 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -12 + 1n + 6n = 2 + -6n + 6n Combine like terms: 1n + 6n = 7n -12 + 7n = 2 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 7n = 2 + 0 -12 + 7n = 2 Add '12' to each side of the equation. -12 + 12 + 7n = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 2 + 12 7n = 2 + 12 Combine like terms: 2 + 12 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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