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Simplifying 2h + 9k + -9(2h + -4k) = 0 2h + 9k + (2h * -9 + -4k * -9) = 0 2h + 9k + (-18h + 36k) = 0 Reorder the terms: 2h + -18h + 9k + 36k = 0 Combine like terms: 2h + -18h = -16h -16h + 9k + 36k = 0 Combine like terms: 9k + 36k = 45k -16h + 45k = 0 Solving -16h + 45k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-45k' to each side of the equation. -16h + 45k + -45k = 0 + -45k Combine like terms: 45k + -45k = 0 -16h + 0 = 0 + -45k -16h = 0 + -45k Remove the zero: -16h = -45k Divide each side by '-16'. h = 2.8125k Simplifying h = 2.8125k
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