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Simplifying -2(1 + 3k) = -2 + -3k (1 * -2 + 3k * -2) = -2 + -3k (-2 + -6k) = -2 + -3k Add '2' to each side of the equation. -2 + 2 + -6k = -2 + 2 + -3k Combine like terms: -2 + 2 = 0 0 + -6k = -2 + 2 + -3k -6k = -2 + 2 + -3k Combine like terms: -2 + 2 = 0 -6k = 0 + -3k -6k = -3k Solving -6k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -6k + 3k = -3k + 3k Combine like terms: -6k + 3k = -3k -3k = -3k + 3k Combine like terms: -3k + 3k = 0 -3k = 0 Divide each side by '-3'. k = 0 Simplifying k = 0
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