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Simplifying 7h + 5k + h + -7k = 0 Reorder the terms: 7h + h + 5k + -7k = 0 Combine like terms: 7h + h = 8h 8h + 5k + -7k = 0 Combine like terms: 5k + -7k = -2k 8h + -2k = 0 Solving 8h + -2k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2k' to each side of the equation. 8h + -2k + 2k = 0 + 2k Combine like terms: -2k + 2k = 0 8h + 0 = 0 + 2k 8h = 0 + 2k Remove the zero: 8h = 2k Divide each side by '8'. h = 0.25k Simplifying h = 0.25k
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