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