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Simplifying -90 = 4K + 6(k + -5) Reorder the terms: -90 = 4K + 6(-5 + k) -90 = 4K + (-5 * 6 + k * 6) -90 = 4K + (-30 + 6k) Reorder the terms: -90 = -30 + 4K + 6k Solving -90 = -30 + 4K + 6k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-4K' to each side of the equation. -90 + -4K = -30 + 4K + -4K + 6k Combine like terms: 4K + -4K = 0 -90 + -4K = -30 + 0 + 6k -90 + -4K = -30 + 6k Add '90' to each side of the equation. -90 + 90 + -4K = -30 + 90 + 6k Combine like terms: -90 + 90 = 0 0 + -4K = -30 + 90 + 6k -4K = -30 + 90 + 6k Combine like terms: -30 + 90 = 60 -4K = 60 + 6k Divide each side by '-4'. K = -15 + -1.5k Simplifying K = -15 + -1.5k
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