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Simplifying 6h + 7k + -9(3h + -6k) = 0 6h + 7k + (3h * -9 + -6k * -9) = 0 6h + 7k + (-27h + 54k) = 0 Reorder the terms: 6h + -27h + 7k + 54k = 0 Combine like terms: 6h + -27h = -21h -21h + 7k + 54k = 0 Combine like terms: 7k + 54k = 61k -21h + 61k = 0 Solving -21h + 61k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-61k' to each side of the equation. -21h + 61k + -61k = 0 + -61k Combine like terms: 61k + -61k = 0 -21h + 0 = 0 + -61k -21h = 0 + -61k Remove the zero: -21h = -61k Divide each side by '-21'. h = 2.904761905k Simplifying h = 2.904761905k
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