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Simplifying 3h + 7k + -5(8h + -2k) = 0 3h + 7k + (8h * -5 + -2k * -5) = 0 3h + 7k + (-40h + 10k) = 0 Reorder the terms: 3h + -40h + 7k + 10k = 0 Combine like terms: 3h + -40h = -37h -37h + 7k + 10k = 0 Combine like terms: 7k + 10k = 17k -37h + 17k = 0 Solving -37h + 17k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-17k' to each side of the equation. -37h + 17k + -17k = 0 + -17k Combine like terms: 17k + -17k = 0 -37h + 0 = 0 + -17k -37h = 0 + -17k Remove the zero: -37h = -17k Divide each side by '-37'. h = 0.4594594595k Simplifying h = 0.4594594595k
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