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Simplifying -8n + 8 = -2(1 + 3n) Reorder the terms: 8 + -8n = -2(1 + 3n) 8 + -8n = (1 * -2 + 3n * -2) 8 + -8n = (-2 + -6n) Solving 8 + -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. 8 + -8n + 6n = -2 + -6n + 6n Combine like terms: -8n + 6n = -2n 8 + -2n = -2 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -2n = -2 + 0 8 + -2n = -2 Add '-8' to each side of the equation. 8 + -8 + -2n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -2 + -8 -2n = -2 + -8 Combine like terms: -2 + -8 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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