350=(.50)(h)+(.75)(600-h)

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Solution for 350=(.50)(h)+(.75)(600-h) equation: 


Simplifying
350 = (0.50)(h) + (0.75)(600 + -1h)
350 = 0.50h + (600 * 0.75 + -1h * 0.75)
350 = 0.50h + (450 + -0.75h)

Reorder the terms:
350 = 450 + 0.50h + -0.75h

Combine like terms: 0.50h + -0.75h = -0.25h
350 = 450 + -0.25h

Solving
350 = 450 + -0.25h

Solving for variable 'h'.

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

Add '0.25h' to each side of the equation.
350 + 0.25h = 450 + -0.25h + 0.25h

Combine like terms: -0.25h + 0.25h = 0.00
350 + 0.25h = 450 + 0.00
350 + 0.25h = 450

Add '-350' to each side of the equation.
350 + -350 + 0.25h = 450 + -350

Combine like terms: 350 + -350 = 0
0 + 0.25h = 450 + -350
0.25h = 450 + -350

Combine like terms: 450 + -350 = 100
0.25h = 100

Divide each side by '0.25'.
h = 400

Simplifying
h = 400

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