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Simplifying -2(1 + -6k) = -12 + 22k (1 * -2 + -6k * -2) = -12 + 22k (-2 + 12k) = -12 + 22k Solving -2 + 12k = -12 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. -2 + 12k + -22k = -12 + 22k + -22k Combine like terms: 12k + -22k = -10k -2 + -10k = -12 + 22k + -22k Combine like terms: 22k + -22k = 0 -2 + -10k = -12 + 0 -2 + -10k = -12 Add '2' to each side of the equation. -2 + 2 + -10k = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10k = -12 + 2 -10k = -12 + 2 Combine like terms: -12 + 2 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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