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Simplifying -8(5 + -3n) = 6n + -22 (5 * -8 + -3n * -8) = 6n + -22 (-40 + 24n) = 6n + -22 Reorder the terms: -40 + 24n = -22 + 6n Solving -40 + 24n = -22 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -40 + 24n + -6n = -22 + 6n + -6n Combine like terms: 24n + -6n = 18n -40 + 18n = -22 + 6n + -6n Combine like terms: 6n + -6n = 0 -40 + 18n = -22 + 0 -40 + 18n = -22 Add '40' to each side of the equation. -40 + 40 + 18n = -22 + 40 Combine like terms: -40 + 40 = 0 0 + 18n = -22 + 40 18n = -22 + 40 Combine like terms: -22 + 40 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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