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Simplifying 3h + 9k + -9(8h + -2k) = 0 3h + 9k + (8h * -9 + -2k * -9) = 0 3h + 9k + (-72h + 18k) = 0 Reorder the terms: 3h + -72h + 9k + 18k = 0 Combine like terms: 3h + -72h = -69h -69h + 9k + 18k = 0 Combine like terms: 9k + 18k = 27k -69h + 27k = 0 Solving -69h + 27k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27k' to each side of the equation. -69h + 27k + -27k = 0 + -27k Combine like terms: 27k + -27k = 0 -69h + 0 = 0 + -27k -69h = 0 + -27k Remove the zero: -69h = -27k Divide each side by '-69'. h = 0.3913043478k Simplifying h = 0.3913043478k
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