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Simplifying 7h + 4k + -7(5h + -3k) = 0 7h + 4k + (5h * -7 + -3k * -7) = 0 7h + 4k + (-35h + 21k) = 0 Reorder the terms: 7h + -35h + 4k + 21k = 0 Combine like terms: 7h + -35h = -28h -28h + 4k + 21k = 0 Combine like terms: 4k + 21k = 25k -28h + 25k = 0 Solving -28h + 25k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-25k' to each side of the equation. -28h + 25k + -25k = 0 + -25k Combine like terms: 25k + -25k = 0 -28h + 0 = 0 + -25k -28h = 0 + -25k Remove the zero: -28h = -25k Divide each side by '-28'. h = 0.8928571429k Simplifying h = 0.8928571429k
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