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Simplifying 4(k + -2) + -6 = 5K + -1(4K + -3) Reorder the terms: 4(-2 + k) + -6 = 5K + -1(4K + -3) (-2 * 4 + k * 4) + -6 = 5K + -1(4K + -3) (-8 + 4k) + -6 = 5K + -1(4K + -3) Reorder the terms: -8 + -6 + 4k = 5K + -1(4K + -3) Combine like terms: -8 + -6 = -14 -14 + 4k = 5K + -1(4K + -3) Reorder the terms: -14 + 4k = 5K + -1(-3 + 4K) -14 + 4k = 5K + (-3 * -1 + 4K * -1) -14 + 4k = 5K + (3 + -4K) Reorder the terms: -14 + 4k = 3 + 5K + -4K Combine like terms: 5K + -4K = 1K -14 + 4k = 3 + 1K Solving -14 + 4k = 3 + 1K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4k = 3 + 14 + 1K Combine like terms: -14 + 14 = 0 0 + 4k = 3 + 14 + 1K 4k = 3 + 14 + 1K Combine like terms: 3 + 14 = 17 4k = 17 + 1K Divide each side by '4'. k = 4.25 + 0.25K Simplifying k = 4.25 + 0.25K
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