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Simplifying -2(1 + -3k) = 16 + 3k (1 * -2 + -3k * -2) = 16 + 3k (-2 + 6k) = 16 + 3k Solving -2 + 6k = 16 + 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. -2 + 6k + -3k = 16 + 3k + -3k Combine like terms: 6k + -3k = 3k -2 + 3k = 16 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + 3k = 16 + 0 -2 + 3k = 16 Add '2' to each side of the equation. -2 + 2 + 3k = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = 16 + 2 3k = 16 + 2 Combine like terms: 16 + 2 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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