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Simplifying 5(K + -8) + -1(4K + -3) = -2 Reorder the terms: 5(-8 + K) + -1(4K + -3) = -2 (-8 * 5 + K * 5) + -1(4K + -3) = -2 (-40 + 5K) + -1(4K + -3) = -2 Reorder the terms: -40 + 5K + -1(-3 + 4K) = -2 -40 + 5K + (-3 * -1 + 4K * -1) = -2 -40 + 5K + (3 + -4K) = -2 Reorder the terms: -40 + 3 + 5K + -4K = -2 Combine like terms: -40 + 3 = -37 -37 + 5K + -4K = -2 Combine like terms: 5K + -4K = 1K -37 + 1K = -2 Solving -37 + 1K = -2 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1K = -2 + 37 Combine like terms: -37 + 37 = 0 0 + 1K = -2 + 37 1K = -2 + 37 Combine like terms: -2 + 37 = 35 1K = 35 Divide each side by '1'. K = 35 Simplifying K = 35
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