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Simplifying 40 = 8(n + 7) Reorder the terms: 40 = 8(7 + n) 40 = (7 * 8 + n * 8) 40 = (56 + 8n) Solving 40 = 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. 40 + -8n = 56 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + -8n = 56 + 0 40 + -8n = 56 Add '-40' to each side of the equation. 40 + -40 + -8n = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -8n = 56 + -40 -8n = 56 + -40 Combine like terms: 56 + -40 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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