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Simplifying 4 + 8k = -4 + 8(1 + -8k) 4 + 8k = -4 + (1 * 8 + -8k * 8) 4 + 8k = -4 + (8 + -64k) Combine like terms: -4 + 8 = 4 4 + 8k = 4 + -64k Add '-4' to each side of the equation. 4 + -4 + 8k = 4 + -4 + -64k Combine like terms: 4 + -4 = 0 0 + 8k = 4 + -4 + -64k 8k = 4 + -4 + -64k Combine like terms: 4 + -4 = 0 8k = 0 + -64k 8k = -64k Solving 8k = -64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64k' to each side of the equation. 8k + 64k = -64k + 64k Combine like terms: 8k + 64k = 72k 72k = -64k + 64k Combine like terms: -64k + 64k = 0 72k = 0 Divide each side by '72'. k = 0 Simplifying k = 0
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