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Simplifying -8(6 + -1K) = 6(k + -2) (6 * -8 + -1K * -8) = 6(k + -2) (-48 + 8K) = 6(k + -2) Reorder the terms: -48 + 8K = 6(-2 + k) -48 + 8K = (-2 * 6 + k * 6) -48 + 8K = (-12 + 6k) Solving -48 + 8K = -12 + 6k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 8K = -12 + 48 + 6k Combine like terms: -48 + 48 = 0 0 + 8K = -12 + 48 + 6k 8K = -12 + 48 + 6k Combine like terms: -12 + 48 = 36 8K = 36 + 6k Divide each side by '8'. K = 4.5 + 0.75k Simplifying K = 4.5 + 0.75k
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