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Simplifying -6(5n + -2) + -10(7n + -6) = 0 Reorder the terms: -6(-2 + 5n) + -10(7n + -6) = 0 (-2 * -6 + 5n * -6) + -10(7n + -6) = 0 (12 + -30n) + -10(7n + -6) = 0 Reorder the terms: 12 + -30n + -10(-6 + 7n) = 0 12 + -30n + (-6 * -10 + 7n * -10) = 0 12 + -30n + (60 + -70n) = 0 Reorder the terms: 12 + 60 + -30n + -70n = 0 Combine like terms: 12 + 60 = 72 72 + -30n + -70n = 0 Combine like terms: -30n + -70n = -100n 72 + -100n = 0 Solving 72 + -100n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -100n = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -100n = 0 + -72 -100n = 0 + -72 Combine like terms: 0 + -72 = -72 -100n = -72 Divide each side by '-100'. n = 0.72 Simplifying n = 0.72
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