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Simplifying -82 = -2(8 + 2n) + -7n -82 = (8 * -2 + 2n * -2) + -7n -82 = (-16 + -4n) + -7n Combine like terms: -4n + -7n = -11n -82 = -16 + -11n Solving -82 = -16 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -82 + 11n = -16 + -11n + 11n Combine like terms: -11n + 11n = 0 -82 + 11n = -16 + 0 -82 + 11n = -16 Add '82' to each side of the equation. -82 + 82 + 11n = -16 + 82 Combine like terms: -82 + 82 = 0 0 + 11n = -16 + 82 11n = -16 + 82 Combine like terms: -16 + 82 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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