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Simplifying 8 + -8n = 8(n + 7) Reorder the terms: 8 + -8n = 8(7 + n) 8 + -8n = (7 * 8 + n * 8) 8 + -8n = (56 + 8n) Solving 8 + -8n = 56 + 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. 8 + -8n + -8n = 56 + 8n + -8n Combine like terms: -8n + -8n = -16n 8 + -16n = 56 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -16n = 56 + 0 8 + -16n = 56 Add '-8' to each side of the equation. 8 + -8 + -16n = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -16n = 56 + -8 -16n = 56 + -8 Combine like terms: 56 + -8 = 48 -16n = 48 Divide each side by '-16'. n = -3 Simplifying n = -3
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