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Simplifying 8h + 9k + -9(8h + -9k) = 0 8h + 9k + (8h * -9 + -9k * -9) = 0 8h + 9k + (-72h + 81k) = 0 Reorder the terms: 8h + -72h + 9k + 81k = 0 Combine like terms: 8h + -72h = -64h -64h + 9k + 81k = 0 Combine like terms: 9k + 81k = 90k -64h + 90k = 0 Solving -64h + 90k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-90k' to each side of the equation. -64h + 90k + -90k = 0 + -90k Combine like terms: 90k + -90k = 0 -64h + 0 = 0 + -90k -64h = 0 + -90k Remove the zero: -64h = -90k Divide each side by '-64'. h = 1.40625k Simplifying h = 1.40625k
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