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Simplifying 7 + 5(7 + 8n) = -78 7 + (7 * 5 + 8n * 5) = -78 7 + (35 + 40n) = -78 Combine like terms: 7 + 35 = 42 42 + 40n = -78 Solving 42 + 40n = -78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 40n = -78 + -42 Combine like terms: 42 + -42 = 0 0 + 40n = -78 + -42 40n = -78 + -42 Combine like terms: -78 + -42 = -120 40n = -120 Divide each side by '40'. n = -3 Simplifying n = -3
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