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Simplifying 2h + 9k + -9(7h + -8k) = 0 2h + 9k + (7h * -9 + -8k * -9) = 0 2h + 9k + (-63h + 72k) = 0 Reorder the terms: 2h + -63h + 9k + 72k = 0 Combine like terms: 2h + -63h = -61h -61h + 9k + 72k = 0 Combine like terms: 9k + 72k = 81k -61h + 81k = 0 Solving -61h + 81k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-81k' to each side of the equation. -61h + 81k + -81k = 0 + -81k Combine like terms: 81k + -81k = 0 -61h + 0 = 0 + -81k -61h = 0 + -81k Remove the zero: -61h = -81k Divide each side by '-61'. h = 1.327868852k Simplifying h = 1.327868852k
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