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Simplifying -2(-5n + 1) = -1(10 + n) + 8n Reorder the terms: -2(1 + -5n) = -1(10 + n) + 8n (1 * -2 + -5n * -2) = -1(10 + n) + 8n (-2 + 10n) = -1(10 + n) + 8n -2 + 10n = (10 * -1 + n * -1) + 8n -2 + 10n = (-10 + -1n) + 8n Combine like terms: -1n + 8n = 7n -2 + 10n = -10 + 7n Solving -2 + 10n = -10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 10n + -7n = -10 + 7n + -7n Combine like terms: 10n + -7n = 3n -2 + 3n = -10 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 3n = -10 + 0 -2 + 3n = -10 Add '2' to each side of the equation. -2 + 2 + 3n = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = -10 + 2 3n = -10 + 2 Combine like terms: -10 + 2 = -8 3n = -8 Divide each side by '3'. n = -2.666666667 Simplifying n = -2.666666667
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