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Simplifying -10(-4n + -8) + 7(-10n + -8) = 0 Reorder the terms: -10(-8 + -4n) + 7(-10n + -8) = 0 (-8 * -10 + -4n * -10) + 7(-10n + -8) = 0 (80 + 40n) + 7(-10n + -8) = 0 Reorder the terms: 80 + 40n + 7(-8 + -10n) = 0 80 + 40n + (-8 * 7 + -10n * 7) = 0 80 + 40n + (-56 + -70n) = 0 Reorder the terms: 80 + -56 + 40n + -70n = 0 Combine like terms: 80 + -56 = 24 24 + 40n + -70n = 0 Combine like terms: 40n + -70n = -30n 24 + -30n = 0 Solving 24 + -30n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -30n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -30n = 0 + -24 -30n = 0 + -24 Combine like terms: 0 + -24 = -24 -30n = -24 Divide each side by '-30'. n = 0.8 Simplifying n = 0.8
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