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Simplifying 2(6 + -7k) = 2k + -4 (6 * 2 + -7k * 2) = 2k + -4 (12 + -14k) = 2k + -4 Reorder the terms: 12 + -14k = -4 + 2k Solving 12 + -14k = -4 + 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. 12 + -14k + -2k = -4 + 2k + -2k Combine like terms: -14k + -2k = -16k 12 + -16k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -16k = -4 + 0 12 + -16k = -4 Add '-12' to each side of the equation. 12 + -12 + -16k = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -16k = -4 + -12 -16k = -4 + -12 Combine like terms: -4 + -12 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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