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Simplifying 2(5 + 5n) = -1(9n + -10) + -6n (5 * 2 + 5n * 2) = -1(9n + -10) + -6n (10 + 10n) = -1(9n + -10) + -6n Reorder the terms: 10 + 10n = -1(-10 + 9n) + -6n 10 + 10n = (-10 * -1 + 9n * -1) + -6n 10 + 10n = (10 + -9n) + -6n Combine like terms: -9n + -6n = -15n 10 + 10n = 10 + -15n Add '-10' to each side of the equation. 10 + -10 + 10n = 10 + -10 + -15n Combine like terms: 10 + -10 = 0 0 + 10n = 10 + -10 + -15n 10n = 10 + -10 + -15n Combine like terms: 10 + -10 = 0 10n = 0 + -15n 10n = -15n Solving 10n = -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 10n + 15n = -15n + 15n Combine like terms: 10n + 15n = 25n 25n = -15n + 15n Combine like terms: -15n + 15n = 0 25n = 0 Divide each side by '25'. n = 0 Simplifying n = 0
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