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Simplifying -5(8 + -3n) + -1n = -82 (8 * -5 + -3n * -5) + -1n = -82 (-40 + 15n) + -1n = -82 Combine like terms: 15n + -1n = 14n -40 + 14n = -82 Solving -40 + 14n = -82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 14n = -82 + 40 Combine like terms: -40 + 40 = 0 0 + 14n = -82 + 40 14n = -82 + 40 Combine like terms: -82 + 40 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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