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Simplifying 5(1 + -1n) = -8n + -7 (1 * 5 + -1n * 5) = -8n + -7 (5 + -5n) = -8n + -7 Reorder the terms: 5 + -5n = -7 + -8n Solving 5 + -5n = -7 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 5 + -5n + 8n = -7 + -8n + 8n Combine like terms: -5n + 8n = 3n 5 + 3n = -7 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + 3n = -7 + 0 5 + 3n = -7 Add '-5' to each side of the equation. 5 + -5 + 3n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = -7 + -5 3n = -7 + -5 Combine like terms: -7 + -5 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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