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Simplifying -5(8 + 5n) = -13 + 2n (8 * -5 + 5n * -5) = -13 + 2n (-40 + -25n) = -13 + 2n Solving -40 + -25n = -13 + 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 + -25n + -2n = -13 + 2n + -2n Combine like terms: -25n + -2n = -27n -40 + -27n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 -40 + -27n = -13 + 0 -40 + -27n = -13 Add '40' to each side of the equation. -40 + 40 + -27n = -13 + 40 Combine like terms: -40 + 40 = 0 0 + -27n = -13 + 40 -27n = -13 + 40 Combine like terms: -13 + 40 = 27 -27n = 27 Divide each side by '-27'. n = -1 Simplifying n = -1
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