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Simplifying 6h + 3k + -5(7h + -6k) = 0 6h + 3k + (7h * -5 + -6k * -5) = 0 6h + 3k + (-35h + 30k) = 0 Reorder the terms: 6h + -35h + 3k + 30k = 0 Combine like terms: 6h + -35h = -29h -29h + 3k + 30k = 0 Combine like terms: 3k + 30k = 33k -29h + 33k = 0 Solving -29h + 33k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-33k' to each side of the equation. -29h + 33k + -33k = 0 + -33k Combine like terms: 33k + -33k = 0 -29h + 0 = 0 + -33k -29h = 0 + -33k Remove the zero: -29h = -33k Divide each side by '-29'. h = 1.137931034k Simplifying h = 1.137931034k
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