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Simplifying 8(-8 + 8k) = -12 + 12k (-8 * 8 + 8k * 8) = -12 + 12k (-64 + 64k) = -12 + 12k Solving -64 + 64k = -12 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -64 + 64k + -12k = -12 + 12k + -12k Combine like terms: 64k + -12k = 52k -64 + 52k = -12 + 12k + -12k Combine like terms: 12k + -12k = 0 -64 + 52k = -12 + 0 -64 + 52k = -12 Add '64' to each side of the equation. -64 + 64 + 52k = -12 + 64 Combine like terms: -64 + 64 = 0 0 + 52k = -12 + 64 52k = -12 + 64 Combine like terms: -12 + 64 = 52 52k = 52 Divide each side by '52'. k = 1 Simplifying k = 1
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