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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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