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Simplifying -606 = 8k + 6(-10k + 3) Reorder the terms: -606 = 8k + 6(3 + -10k) -606 = 8k + (3 * 6 + -10k * 6) -606 = 8k + (18 + -60k) Reorder the terms: -606 = 18 + 8k + -60k Combine like terms: 8k + -60k = -52k -606 = 18 + -52k Solving -606 = 18 + -52k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '52k' to each side of the equation. -606 + 52k = 18 + -52k + 52k Combine like terms: -52k + 52k = 0 -606 + 52k = 18 + 0 -606 + 52k = 18 Add '606' to each side of the equation. -606 + 606 + 52k = 18 + 606 Combine like terms: -606 + 606 = 0 0 + 52k = 18 + 606 52k = 18 + 606 Combine like terms: 18 + 606 = 624 52k = 624 Divide each side by '52'. k = 12 Simplifying k = 12
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