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Simplifying 8(n + 7) = -10 + -3n Reorder the terms: 8(7 + n) = -10 + -3n (7 * 8 + n * 8) = -10 + -3n (56 + 8n) = -10 + -3n Solving 56 + 8n = -10 + -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. 56 + 8n + 3n = -10 + -3n + 3n Combine like terms: 8n + 3n = 11n 56 + 11n = -10 + -3n + 3n Combine like terms: -3n + 3n = 0 56 + 11n = -10 + 0 56 + 11n = -10 Add '-56' to each side of the equation. 56 + -56 + 11n = -10 + -56 Combine like terms: 56 + -56 = 0 0 + 11n = -10 + -56 11n = -10 + -56 Combine like terms: -10 + -56 = -66 11n = -66 Divide each side by '11'. n = -6 Simplifying n = -6
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