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Simplifying -8(1 + 8k) = -8 + 2k (1 * -8 + 8k * -8) = -8 + 2k (-8 + -64k) = -8 + 2k Add '8' to each side of the equation. -8 + 8 + -64k = -8 + 8 + 2k Combine like terms: -8 + 8 = 0 0 + -64k = -8 + 8 + 2k -64k = -8 + 8 + 2k Combine like terms: -8 + 8 = 0 -64k = 0 + 2k -64k = 2k Solving -64k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -64k + -2k = 2k + -2k Combine like terms: -64k + -2k = -66k -66k = 2k + -2k Combine like terms: 2k + -2k = 0 -66k = 0 Divide each side by '-66'. k = 0 Simplifying k = 0
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