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Simplifying -109 = -4(n + 8) + -7n Reorder the terms: -109 = -4(8 + n) + -7n -109 = (8 * -4 + n * -4) + -7n -109 = (-32 + -4n) + -7n Combine like terms: -4n + -7n = -11n -109 = -32 + -11n Solving -109 = -32 + -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. -109 + 11n = -32 + -11n + 11n Combine like terms: -11n + 11n = 0 -109 + 11n = -32 + 0 -109 + 11n = -32 Add '109' to each side of the equation. -109 + 109 + 11n = -32 + 109 Combine like terms: -109 + 109 = 0 0 + 11n = -32 + 109 11n = -32 + 109 Combine like terms: -32 + 109 = 77 11n = 77 Divide each side by '11'. n = 7 Simplifying n = 7
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