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Simplifying (K + -3)(8k + 7) = 0 Reorder the terms: (-3 + K)(8k + 7) = 0 Reorder the terms: (-3 + K)(7 + 8k) = 0 Multiply (-3 + K) * (7 + 8k) (-3(7 + 8k) + K(7 + 8k)) = 0 ((7 * -3 + 8k * -3) + K(7 + 8k)) = 0 ((-21 + -24k) + K(7 + 8k)) = 0 (-21 + -24k + (7 * K + 8k * K)) = 0 (-21 + -24k + (7K + 8kK)) = 0 Reorder the terms: (-21 + 7K + -24k + 8kK) = 0 (-21 + 7K + -24k + 8kK) = 0 Solving -21 + 7K + -24k + 8kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 7K + -24k + 21 + 8kK = 0 + 21 Reorder the terms: -21 + 21 + 7K + -24k + 8kK = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7K + -24k + 8kK = 0 + 21 7K + -24k + 8kK = 0 + 21 Combine like terms: 0 + 21 = 21 7K + -24k + 8kK = 21 Add '24k' to each side of the equation. 7K + -24k + 24k + 8kK = 21 + 24k Combine like terms: -24k + 24k = 0 7K + 0 + 8kK = 21 + 24k 7K + 8kK = 21 + 24k Reorder the terms: -21 + 7K + -24k + 8kK = 21 + 24k + -21 + -24k Reorder the terms: -21 + 7K + -24k + 8kK = 21 + -21 + 24k + -24k Combine like terms: 21 + -21 = 0 -21 + 7K + -24k + 8kK = 0 + 24k + -24k -21 + 7K + -24k + 8kK = 24k + -24k Combine like terms: 24k + -24k = 0 -21 + 7K + -24k + 8kK = 0 The solution to this equation could not be determined.
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