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Simplifying 6h + 3k + -8(3h + -3k) = 0 6h + 3k + (3h * -8 + -3k * -8) = 0 6h + 3k + (-24h + 24k) = 0 Reorder the terms: 6h + -24h + 3k + 24k = 0 Combine like terms: 6h + -24h = -18h -18h + 3k + 24k = 0 Combine like terms: 3k + 24k = 27k -18h + 27k = 0 Solving -18h + 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. -18h + 27k + -27k = 0 + -27k Combine like terms: 27k + -27k = 0 -18h + 0 = 0 + -27k -18h = 0 + -27k Remove the zero: -18h = -27k Divide each side by '-18'. h = 1.5k Simplifying h = 1.5k
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