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Simplifying -8(3 + 4K) + -1(5k + -6) = 0 (3 * -8 + 4K * -8) + -1(5k + -6) = 0 (-24 + -32K) + -1(5k + -6) = 0 Reorder the terms: -24 + -32K + -1(-6 + 5k) = 0 -24 + -32K + (-6 * -1 + 5k * -1) = 0 -24 + -32K + (6 + -5k) = 0 Reorder the terms: -24 + 6 + -32K + -5k = 0 Combine like terms: -24 + 6 = -18 -18 + -32K + -5k = 0 Solving -18 + -32K + -5k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -32K + 18 + -5k = 0 + 18 Reorder the terms: -18 + 18 + -32K + -5k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -32K + -5k = 0 + 18 -32K + -5k = 0 + 18 Combine like terms: 0 + 18 = 18 -32K + -5k = 18 Add '5k' to each side of the equation. -32K + -5k + 5k = 18 + 5k Combine like terms: -5k + 5k = 0 -32K + 0 = 18 + 5k -32K = 18 + 5k Divide each side by '-32'. K = -0.5625 + -0.15625k Simplifying K = -0.5625 + -0.15625k
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