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Simplifying 8h + 9k + -3(6h + -8k) = 0 8h + 9k + (6h * -3 + -8k * -3) = 0 8h + 9k + (-18h + 24k) = 0 Reorder the terms: 8h + -18h + 9k + 24k = 0 Combine like terms: 8h + -18h = -10h -10h + 9k + 24k = 0 Combine like terms: 9k + 24k = 33k -10h + 33k = 0 Solving -10h + 33k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-33k' to each side of the equation. -10h + 33k + -33k = 0 + -33k Combine like terms: 33k + -33k = 0 -10h + 0 = 0 + -33k -10h = 0 + -33k Remove the zero: -10h = -33k Divide each side by '-10'. h = 3.3k Simplifying h = 3.3k
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