7905.24=(9.38)(H)+(12.34)(750-H)

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Solution for 7905.24=(9.38)(H)+(12.34)(750-H) equation: 


Simplifying
7905.24 = (9.38)(H) + (12.34)(750 + -1H)
7905.24 = 9.38H + (750 * 12.34 + -1H * 12.34)
7905.24 = 9.38H + (9255 + -12.34H)

Reorder the terms:
7905.24 = 9255 + 9.38H + -12.34H

Combine like terms: 9.38H + -12.34H = -2.96H
7905.24 = 9255 + -2.96H

Solving
7905.24 = 9255 + -2.96H

Solving for variable 'H'.

Move all terms containing H to the left, all other terms to the right.

Add '2.96H' to each side of the equation.
7905.24 + 2.96H = 9255 + -2.96H + 2.96H

Combine like terms: -2.96H + 2.96H = 0.00
7905.24 + 2.96H = 9255 + 0.00
7905.24 + 2.96H = 9255

Add '-7905.24' to each side of the equation.
7905.24 + -7905.24 + 2.96H = 9255 + -7905.24

Combine like terms: 7905.24 + -7905.24 = 0.00
0.00 + 2.96H = 9255 + -7905.24
2.96H = 9255 + -7905.24

Combine like terms: 9255 + -7905.24 = 1349.76
2.96H = 1349.76

Divide each side by '2.96'.
H = 456

Simplifying
H = 456

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