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Simplifying 2(8k + -4) = -8 + -5k Reorder the terms: 2(-4 + 8k) = -8 + -5k (-4 * 2 + 8k * 2) = -8 + -5k (-8 + 16k) = -8 + -5k Add '8' to each side of the equation. -8 + 8 + 16k = -8 + 8 + -5k Combine like terms: -8 + 8 = 0 0 + 16k = -8 + 8 + -5k 16k = -8 + 8 + -5k Combine like terms: -8 + 8 = 0 16k = 0 + -5k 16k = -5k Solving 16k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 16k + 5k = -5k + 5k Combine like terms: 16k + 5k = 21k 21k = -5k + 5k Combine like terms: -5k + 5k = 0 21k = 0 Divide each side by '21'. k = 0 Simplifying k = 0
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