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Simplifying -4 = 8(2 + -8k) + -4(5 + 2k) -4 = (2 * 8 + -8k * 8) + -4(5 + 2k) -4 = (16 + -64k) + -4(5 + 2k) -4 = 16 + -64k + (5 * -4 + 2k * -4) -4 = 16 + -64k + (-20 + -8k) Reorder the terms: -4 = 16 + -20 + -64k + -8k Combine like terms: 16 + -20 = -4 -4 = -4 + -64k + -8k Combine like terms: -64k + -8k = -72k -4 = -4 + -72k Add '4' to each side of the equation. -4 + 4 = -4 + 4 + -72k Combine like terms: -4 + 4 = 0 0 = -4 + 4 + -72k Combine like terms: -4 + 4 = 0 0 = 0 + -72k 0 = -72k Solving 0 = -72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72k' to each side of the equation. 0 + 72k = -72k + 72k Remove the zero: 72k = -72k + 72k Combine like terms: -72k + 72k = 0 72k = 0 Divide each side by '72'. k = 0 Simplifying k = 0
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