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Simplifying -6(-1k + -6) + 4 = 19 + 3k Reorder the terms: -6(-6 + -1k) + 4 = 19 + 3k (-6 * -6 + -1k * -6) + 4 = 19 + 3k (36 + 6k) + 4 = 19 + 3k Reorder the terms: 36 + 4 + 6k = 19 + 3k Combine like terms: 36 + 4 = 40 40 + 6k = 19 + 3k Solving 40 + 6k = 19 + 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. 40 + 6k + -3k = 19 + 3k + -3k Combine like terms: 6k + -3k = 3k 40 + 3k = 19 + 3k + -3k Combine like terms: 3k + -3k = 0 40 + 3k = 19 + 0 40 + 3k = 19 Add '-40' to each side of the equation. 40 + -40 + 3k = 19 + -40 Combine like terms: 40 + -40 = 0 0 + 3k = 19 + -40 3k = 19 + -40 Combine like terms: 19 + -40 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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