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Simplifying 6k + -75 = 7 + -2k Reorder the terms: -75 + 6k = 7 + -2k Solving -75 + 6k = 7 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -75 + 6k + 2k = 7 + -2k + 2k Combine like terms: 6k + 2k = 8k -75 + 8k = 7 + -2k + 2k Combine like terms: -2k + 2k = 0 -75 + 8k = 7 + 0 -75 + 8k = 7 Add '75' to each side of the equation. -75 + 75 + 8k = 7 + 75 Combine like terms: -75 + 75 = 0 0 + 8k = 7 + 75 8k = 7 + 75 Combine like terms: 7 + 75 = 82 8k = 82 Divide each side by '8'. k = 10.25 Simplifying k = 10.25
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