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Simplifying -8(1 + -2k) = 6 + 2k (1 * -8 + -2k * -8) = 6 + 2k (-8 + 16k) = 6 + 2k Solving -8 + 16k = 6 + 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. -8 + 16k + -2k = 6 + 2k + -2k Combine like terms: 16k + -2k = 14k -8 + 14k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + 14k = 6 + 0 -8 + 14k = 6 Add '8' to each side of the equation. -8 + 8 + 14k = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 14k = 6 + 8 14k = 6 + 8 Combine like terms: 6 + 8 = 14 14k = 14 Divide each side by '14'. k = 1 Simplifying k = 1
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