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Simplifying 8(8 + k) = -72k (8 * 8 + k * 8) = -72k (64 + 8k) = -72k Solving 64 + 8k = -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. 64 + 8k + 72k = -72k + 72k Combine like terms: 8k + 72k = 80k 64 + 80k = -72k + 72k Combine like terms: -72k + 72k = 0 64 + 80k = 0 Add '-64' to each side of the equation. 64 + -64 + 80k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 80k = 0 + -64 80k = 0 + -64 Combine like terms: 0 + -64 = -64 80k = -64 Divide each side by '80'. k = -0.8 Simplifying k = -0.8
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