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Simplifying 2h + 5k + -2(2h + -8k) = 0 2h + 5k + (2h * -2 + -8k * -2) = 0 2h + 5k + (-4h + 16k) = 0 Reorder the terms: 2h + -4h + 5k + 16k = 0 Combine like terms: 2h + -4h = -2h -2h + 5k + 16k = 0 Combine like terms: 5k + 16k = 21k -2h + 21k = 0 Solving -2h + 21k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-21k' to each side of the equation. -2h + 21k + -21k = 0 + -21k Combine like terms: 21k + -21k = 0 -2h + 0 = 0 + -21k -2h = 0 + -21k Remove the zero: -2h = -21k Divide each side by '-2'. h = 10.5k Simplifying h = 10.5k
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