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Simplifying -3k + 6(6k + -5) = -30 + -1k Reorder the terms: -3k + 6(-5 + 6k) = -30 + -1k -3k + (-5 * 6 + 6k * 6) = -30 + -1k -3k + (-30 + 36k) = -30 + -1k Reorder the terms: -30 + -3k + 36k = -30 + -1k Combine like terms: -3k + 36k = 33k -30 + 33k = -30 + -1k Add '30' to each side of the equation. -30 + 30 + 33k = -30 + 30 + -1k Combine like terms: -30 + 30 = 0 0 + 33k = -30 + 30 + -1k 33k = -30 + 30 + -1k Combine like terms: -30 + 30 = 0 33k = 0 + -1k 33k = -1k Solving 33k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 33k + k = -1k + k Combine like terms: 33k + k = 34k 34k = -1k + k Combine like terms: -1k + k = 0 34k = 0 Divide each side by '34'. k = 0 Simplifying k = 0
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