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Simplifying 0.8k + 7 = 7p + 12 Reorder the terms: 7 + 0.8k = 7p + 12 Reorder the terms: 7 + 0.8k = 12 + 7p Solving 7 + 0.8k = 12 + 7p Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.8k = 12 + -7 + 7p Combine like terms: 7 + -7 = 0 0 + 0.8k = 12 + -7 + 7p 0.8k = 12 + -7 + 7p Combine like terms: 12 + -7 = 5 0.8k = 5 + 7p Divide each side by '0.8'. k = 6.25 + 8.75p Simplifying k = 6.25 + 8.75p
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