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Simplifying -6(k + 8) + 5 = -91 Reorder the terms: -6(8 + k) + 5 = -91 (8 * -6 + k * -6) + 5 = -91 (-48 + -6k) + 5 = -91 Reorder the terms: -48 + 5 + -6k = -91 Combine like terms: -48 + 5 = -43 -43 + -6k = -91 Solving -43 + -6k = -91 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -6k = -91 + 43 Combine like terms: -43 + 43 = 0 0 + -6k = -91 + 43 -6k = -91 + 43 Combine like terms: -91 + 43 = -48 -6k = -48 Divide each side by '-6'. k = 8 Simplifying k = 8
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