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Simplifying 9h + 3k + -5(8h + -3k) = 0 9h + 3k + (8h * -5 + -3k * -5) = 0 9h + 3k + (-40h + 15k) = 0 Reorder the terms: 9h + -40h + 3k + 15k = 0 Combine like terms: 9h + -40h = -31h -31h + 3k + 15k = 0 Combine like terms: 3k + 15k = 18k -31h + 18k = 0 Solving -31h + 18k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18k' to each side of the equation. -31h + 18k + -18k = 0 + -18k Combine like terms: 18k + -18k = 0 -31h + 0 = 0 + -18k -31h = 0 + -18k Remove the zero: -31h = -18k Divide each side by '-31'. h = 0.5806451613k Simplifying h = 0.5806451613k
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