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Simplifying -8n + 2 = -1(2 + 6n) Reorder the terms: 2 + -8n = -1(2 + 6n) 2 + -8n = (2 * -1 + 6n * -1) 2 + -8n = (-2 + -6n) Solving 2 + -8n = -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. 2 + -8n + 6n = -2 + -6n + 6n Combine like terms: -8n + 6n = -2n 2 + -2n = -2 + -6n + 6n Combine like terms: -6n + 6n = 0 2 + -2n = -2 + 0 2 + -2n = -2 Add '-2' to each side of the equation. 2 + -2 + -2n = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -2 + -2 -2n = -2 + -2 Combine like terms: -2 + -2 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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