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Simplifying -5(-8 + -2n) = -10(n + -8) (-8 * -5 + -2n * -5) = -10(n + -8) (40 + 10n) = -10(n + -8) Reorder the terms: 40 + 10n = -10(-8 + n) 40 + 10n = (-8 * -10 + n * -10) 40 + 10n = (80 + -10n) Solving 40 + 10n = 80 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 40 + 10n + 10n = 80 + -10n + 10n Combine like terms: 10n + 10n = 20n 40 + 20n = 80 + -10n + 10n Combine like terms: -10n + 10n = 0 40 + 20n = 80 + 0 40 + 20n = 80 Add '-40' to each side of the equation. 40 + -40 + 20n = 80 + -40 Combine like terms: 40 + -40 = 0 0 + 20n = 80 + -40 20n = 80 + -40 Combine like terms: 80 + -40 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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