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Simplifying 5(5 + -4n) + -3(6n + 5) = -66 (5 * 5 + -4n * 5) + -3(6n + 5) = -66 (25 + -20n) + -3(6n + 5) = -66 Reorder the terms: 25 + -20n + -3(5 + 6n) = -66 25 + -20n + (5 * -3 + 6n * -3) = -66 25 + -20n + (-15 + -18n) = -66 Reorder the terms: 25 + -15 + -20n + -18n = -66 Combine like terms: 25 + -15 = 10 10 + -20n + -18n = -66 Combine like terms: -20n + -18n = -38n 10 + -38n = -66 Solving 10 + -38n = -66 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -38n = -66 + -10 Combine like terms: 10 + -10 = 0 0 + -38n = -66 + -10 -38n = -66 + -10 Combine like terms: -66 + -10 = -76 -38n = -76 Divide each side by '-38'. n = 2 Simplifying n = 2
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