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Simplifying 8h + 5k + -9(2h + -9k) = 0 8h + 5k + (2h * -9 + -9k * -9) = 0 8h + 5k + (-18h + 81k) = 0 Reorder the terms: 8h + -18h + 5k + 81k = 0 Combine like terms: 8h + -18h = -10h -10h + 5k + 81k = 0 Combine like terms: 5k + 81k = 86k -10h + 86k = 0 Solving -10h + 86k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-86k' to each side of the equation. -10h + 86k + -86k = 0 + -86k Combine like terms: 86k + -86k = 0 -10h + 0 = 0 + -86k -10h = 0 + -86k Remove the zero: -10h = -86k Divide each side by '-10'. h = 8.6k Simplifying h = 8.6k
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