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Simplifying 2(-8 + -6k) = 2k + -2 (-8 * 2 + -6k * 2) = 2k + -2 (-16 + -12k) = 2k + -2 Reorder the terms: -16 + -12k = -2 + 2k Solving -16 + -12k = -2 + 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. -16 + -12k + -2k = -2 + 2k + -2k Combine like terms: -12k + -2k = -14k -16 + -14k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 -16 + -14k = -2 + 0 -16 + -14k = -2 Add '16' to each side of the equation. -16 + 16 + -14k = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -14k = -2 + 16 -14k = -2 + 16 Combine like terms: -2 + 16 = 14 -14k = 14 Divide each side by '-14'. k = -1 Simplifying k = -1
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