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Simplifying (K + -6)(k + -2) = 7 Reorder the terms: (-6 + K)(k + -2) = 7 Reorder the terms: (-6 + K)(-2 + k) = 7 Multiply (-6 + K) * (-2 + k) (-6(-2 + k) + K(-2 + k)) = 7 ((-2 * -6 + k * -6) + K(-2 + k)) = 7 ((12 + -6k) + K(-2 + k)) = 7 (12 + -6k + (-2 * K + k * K)) = 7 (12 + -6k + (-2K + kK)) = 7 Reorder the terms: (12 + -2K + -6k + kK) = 7 (12 + -2K + -6k + kK) = 7 Solving 12 + -2K + -6k + kK = 7 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2K + -6k + -12 + kK = 7 + -12 Reorder the terms: 12 + -12 + -2K + -6k + kK = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -2K + -6k + kK = 7 + -12 -2K + -6k + kK = 7 + -12 Combine like terms: 7 + -12 = -5 -2K + -6k + kK = -5 Add '6k' to each side of the equation. -2K + -6k + 6k + kK = -5 + 6k Combine like terms: -6k + 6k = 0 -2K + 0 + kK = -5 + 6k -2K + kK = -5 + 6k Reorder the terms: 5 + -2K + -6k + kK = -5 + 6k + 5 + -6k Reorder the terms: 5 + -2K + -6k + kK = -5 + 5 + 6k + -6k Combine like terms: -5 + 5 = 0 5 + -2K + -6k + kK = 0 + 6k + -6k 5 + -2K + -6k + kK = 6k + -6k Combine like terms: 6k + -6k = 0 5 + -2K + -6k + kK = 0 The solution to this equation could not be determined.
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