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Simplifying -8(1 + 8k) + -8k = -8 + -5k (1 * -8 + 8k * -8) + -8k = -8 + -5k (-8 + -64k) + -8k = -8 + -5k Combine like terms: -64k + -8k = -72k -8 + -72k = -8 + -5k Add '8' to each side of the equation. -8 + 8 + -72k = -8 + 8 + -5k Combine like terms: -8 + 8 = 0 0 + -72k = -8 + 8 + -5k -72k = -8 + 8 + -5k Combine like terms: -8 + 8 = 0 -72k = 0 + -5k -72k = -5k Solving -72k = -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. -72k + 5k = -5k + 5k Combine like terms: -72k + 5k = -67k -67k = -5k + 5k Combine like terms: -5k + 5k = 0 -67k = 0 Divide each side by '-67'. k = 0 Simplifying k = 0
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