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Simplifying 8(-6n + 5) + -1(-10n + 10) = 0 Reorder the terms: 8(5 + -6n) + -1(-10n + 10) = 0 (5 * 8 + -6n * 8) + -1(-10n + 10) = 0 (40 + -48n) + -1(-10n + 10) = 0 Reorder the terms: 40 + -48n + -1(10 + -10n) = 0 40 + -48n + (10 * -1 + -10n * -1) = 0 40 + -48n + (-10 + 10n) = 0 Reorder the terms: 40 + -10 + -48n + 10n = 0 Combine like terms: 40 + -10 = 30 30 + -48n + 10n = 0 Combine like terms: -48n + 10n = -38n 30 + -38n = 0 Solving 30 + -38n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -38n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -38n = 0 + -30 -38n = 0 + -30 Combine like terms: 0 + -30 = -30 -38n = -30 Divide each side by '-38'. n = 0.7894736842 Simplifying n = 0.7894736842
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