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Simplifying 6h + 8k + -6(5h + -5k) = 0 6h + 8k + (5h * -6 + -5k * -6) = 0 6h + 8k + (-30h + 30k) = 0 Reorder the terms: 6h + -30h + 8k + 30k = 0 Combine like terms: 6h + -30h = -24h -24h + 8k + 30k = 0 Combine like terms: 8k + 30k = 38k -24h + 38k = 0 Solving -24h + 38k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-38k' to each side of the equation. -24h + 38k + -38k = 0 + -38k Combine like terms: 38k + -38k = 0 -24h + 0 = 0 + -38k -24h = 0 + -38k Remove the zero: -24h = -38k Divide each side by '-24'. h = 1.583333333k Simplifying h = 1.583333333k
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