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