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Simplifying -5(-7k + 3) + -1k = -8k + -15 Reorder the terms: -5(3 + -7k) + -1k = -8k + -15 (3 * -5 + -7k * -5) + -1k = -8k + -15 (-15 + 35k) + -1k = -8k + -15 Combine like terms: 35k + -1k = 34k -15 + 34k = -8k + -15 Reorder the terms: -15 + 34k = -15 + -8k Add '15' to each side of the equation. -15 + 15 + 34k = -15 + 15 + -8k Combine like terms: -15 + 15 = 0 0 + 34k = -15 + 15 + -8k 34k = -15 + 15 + -8k Combine like terms: -15 + 15 = 0 34k = 0 + -8k 34k = -8k Solving 34k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 34k + 8k = -8k + 8k Combine like terms: 34k + 8k = 42k 42k = -8k + 8k Combine like terms: -8k + 8k = 0 42k = 0 Divide each side by '42'. k = 0 Simplifying k = 0
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