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Simplifying 10(8 + -3n) + 5(8 + -4n) = 70 (8 * 10 + -3n * 10) + 5(8 + -4n) = 70 (80 + -30n) + 5(8 + -4n) = 70 80 + -30n + (8 * 5 + -4n * 5) = 70 80 + -30n + (40 + -20n) = 70 Reorder the terms: 80 + 40 + -30n + -20n = 70 Combine like terms: 80 + 40 = 120 120 + -30n + -20n = 70 Combine like terms: -30n + -20n = -50n 120 + -50n = 70 Solving 120 + -50n = 70 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -50n = 70 + -120 Combine like terms: 120 + -120 = 0 0 + -50n = 70 + -120 -50n = 70 + -120 Combine like terms: 70 + -120 = -50 -50n = -50 Divide each side by '-50'. n = 1 Simplifying n = 1
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