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Simplifying 6(-2 + 7k) = -12 + -4k (-2 * 6 + 7k * 6) = -12 + -4k (-12 + 42k) = -12 + -4k Add '12' to each side of the equation. -12 + 12 + 42k = -12 + 12 + -4k Combine like terms: -12 + 12 = 0 0 + 42k = -12 + 12 + -4k 42k = -12 + 12 + -4k Combine like terms: -12 + 12 = 0 42k = 0 + -4k 42k = -4k Solving 42k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 42k + 4k = -4k + 4k Combine like terms: 42k + 4k = 46k 46k = -4k + 4k Combine like terms: -4k + 4k = 0 46k = 0 Divide each side by '46'. k = 0 Simplifying k = 0
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