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