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Simplifying -5(-2n + 8) = -5(-1n + -5) Reorder the terms: -5(8 + -2n) = -5(-1n + -5) (8 * -5 + -2n * -5) = -5(-1n + -5) (-40 + 10n) = -5(-1n + -5) Reorder the terms: -40 + 10n = -5(-5 + -1n) -40 + 10n = (-5 * -5 + -1n * -5) -40 + 10n = (25 + 5n) Solving -40 + 10n = 25 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -40 + 10n + -5n = 25 + 5n + -5n Combine like terms: 10n + -5n = 5n -40 + 5n = 25 + 5n + -5n Combine like terms: 5n + -5n = 0 -40 + 5n = 25 + 0 -40 + 5n = 25 Add '40' to each side of the equation. -40 + 40 + 5n = 25 + 40 Combine like terms: -40 + 40 = 0 0 + 5n = 25 + 40 5n = 25 + 40 Combine like terms: 25 + 40 = 65 5n = 65 Divide each side by '5'. n = 13 Simplifying n = 13
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