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Simplifying 7h + 5k + -4(8h + -7k) = 0 7h + 5k + (8h * -4 + -7k * -4) = 0 7h + 5k + (-32h + 28k) = 0 Reorder the terms: 7h + -32h + 5k + 28k = 0 Combine like terms: 7h + -32h = -25h -25h + 5k + 28k = 0 Combine like terms: 5k + 28k = 33k -25h + 33k = 0 Solving -25h + 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. -25h + 33k + -33k = 0 + -33k Combine like terms: 33k + -33k = 0 -25h + 0 = 0 + -33k -25h = 0 + -33k Remove the zero: -25h = -33k Divide each side by '-25'. h = 1.32k Simplifying h = 1.32k
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