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Simplifying -7k + 5(8k + -4) = -4k + -20 Reorder the terms: -7k + 5(-4 + 8k) = -4k + -20 -7k + (-4 * 5 + 8k * 5) = -4k + -20 -7k + (-20 + 40k) = -4k + -20 Reorder the terms: -20 + -7k + 40k = -4k + -20 Combine like terms: -7k + 40k = 33k -20 + 33k = -4k + -20 Reorder the terms: -20 + 33k = -20 + -4k Add '20' to each side of the equation. -20 + 20 + 33k = -20 + 20 + -4k Combine like terms: -20 + 20 = 0 0 + 33k = -20 + 20 + -4k 33k = -20 + 20 + -4k Combine like terms: -20 + 20 = 0 33k = 0 + -4k 33k = -4k Solving 33k = -4k 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. 33k + 4k = -4k + 4k Combine like terms: 33k + 4k = 37k 37k = -4k + 4k Combine like terms: -4k + 4k = 0 37k = 0 Divide each side by '37'. k = 0 Simplifying k = 0
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