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Simplifying -7(-8k + 6) + 6k = 0 Reorder the terms: -7(6 + -8k) + 6k = 0 (6 * -7 + -8k * -7) + 6k = 0 (-42 + 56k) + 6k = 0 Combine like terms: 56k + 6k = 62k -42 + 62k = 0 Solving -42 + 62k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 62k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 62k = 0 + 42 62k = 0 + 42 Combine like terms: 0 + 42 = 42 62k = 42 Divide each side by '62'. k = 0.6774193548 Simplifying k = 0.6774193548
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