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Simplifying 4K + -8(3k + -2) = -1(7 + 9k) Reorder the terms: 4K + -8(-2 + 3k) = -1(7 + 9k) 4K + (-2 * -8 + 3k * -8) = -1(7 + 9k) 4K + (16 + -24k) = -1(7 + 9k) Reorder the terms: 16 + 4K + -24k = -1(7 + 9k) 16 + 4K + -24k = (7 * -1 + 9k * -1) 16 + 4K + -24k = (-7 + -9k) Solving 16 + 4K + -24k = -7 + -9k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4K + -16 + -24k = -7 + -16 + -9k Reorder the terms: 16 + -16 + 4K + -24k = -7 + -16 + -9k Combine like terms: 16 + -16 = 0 0 + 4K + -24k = -7 + -16 + -9k 4K + -24k = -7 + -16 + -9k Combine like terms: -7 + -16 = -23 4K + -24k = -23 + -9k Add '24k' to each side of the equation. 4K + -24k + 24k = -23 + -9k + 24k Combine like terms: -24k + 24k = 0 4K + 0 = -23 + -9k + 24k 4K = -23 + -9k + 24k Combine like terms: -9k + 24k = 15k 4K = -23 + 15k Divide each side by '4'. K = -5.75 + 3.75k Simplifying K = -5.75 + 3.75k
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