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Simplifying -12 + 2k = -6(2 + 7k) -12 + 2k = (2 * -6 + 7k * -6) -12 + 2k = (-12 + -42k) Add '12' to each side of the equation. -12 + 12 + 2k = -12 + 12 + -42k Combine like terms: -12 + 12 = 0 0 + 2k = -12 + 12 + -42k 2k = -12 + 12 + -42k Combine like terms: -12 + 12 = 0 2k = 0 + -42k 2k = -42k Solving 2k = -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 2k + 42k = -42k + 42k Combine like terms: 2k + 42k = 44k 44k = -42k + 42k Combine like terms: -42k + 42k = 0 44k = 0 Divide each side by '44'. k = 0 Simplifying k = 0
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