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Simplifying 5(-8 + 2n) = -5(n + -1) (-8 * 5 + 2n * 5) = -5(n + -1) (-40 + 10n) = -5(n + -1) Reorder the terms: -40 + 10n = -5(-1 + n) -40 + 10n = (-1 * -5 + n * -5) -40 + 10n = (5 + -5n) Solving -40 + 10n = 5 + -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 = 5 + -5n + 5n Combine like terms: 10n + 5n = 15n -40 + 15n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 -40 + 15n = 5 + 0 -40 + 15n = 5 Add '40' to each side of the equation. -40 + 40 + 15n = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 15n = 5 + 40 15n = 5 + 40 Combine like terms: 5 + 40 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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