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Simplifying -8(5 + -4n) = -6 + -2n (5 * -8 + -4n * -8) = -6 + -2n (-40 + 32n) = -6 + -2n Solving -40 + 32n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -40 + 32n + 2n = -6 + -2n + 2n Combine like terms: 32n + 2n = 34n -40 + 34n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 -40 + 34n = -6 + 0 -40 + 34n = -6 Add '40' to each side of the equation. -40 + 40 + 34n = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 34n = -6 + 40 34n = -6 + 40 Combine like terms: -6 + 40 = 34 34n = 34 Divide each side by '34'. n = 1 Simplifying n = 1
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