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Simplifying 6h + 3k + -5(7h + -5k) = 0 6h + 3k + (7h * -5 + -5k * -5) = 0 6h + 3k + (-35h + 25k) = 0 Reorder the terms: 6h + -35h + 3k + 25k = 0 Combine like terms: 6h + -35h = -29h -29h + 3k + 25k = 0 Combine like terms: 3k + 25k = 28k -29h + 28k = 0 Solving -29h + 28k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-28k' to each side of the equation. -29h + 28k + -28k = 0 + -28k Combine like terms: 28k + -28k = 0 -29h + 0 = 0 + -28k -29h = 0 + -28k Remove the zero: -29h = -28k Divide each side by '-29'. h = 0.9655172414k Simplifying h = 0.9655172414k
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