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Simplifying 34k + -1k = -8(k + -6) Combine like terms: 34k + -1k = 33k 33k = -8(k + -6) Reorder the terms: 33k = -8(-6 + k) 33k = (-6 * -8 + k * -8) 33k = (48 + -8k) Solving 33k = 48 + -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. 33k + 8k = 48 + -8k + 8k Combine like terms: 33k + 8k = 41k 41k = 48 + -8k + 8k Combine like terms: -8k + 8k = 0 41k = 48 + 0 41k = 48 Divide each side by '41'. k = 1.170731707 Simplifying k = 1.170731707
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