240=(.50)(H)+(.40)(500-H)

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Solution for 240=(.50)(H)+(.40)(500-H) equation:


Simplifying
240 = (0.50)(H) + (0.40)(500 + -1H)
240 = 0.50H + (500 * 0.40 + -1H * 0.40)
240 = 0.50H + (200 + -0.4H)

Reorder the terms:
240 = 200 + 0.50H + -0.4H

Combine like terms: 0.50H + -0.4H = 0.1H
240 = 200 + 0.1H

Solving
240 = 200 + 0.1H

Solving for variable 'H'.

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

Add '-0.1H' to each side of the equation.
240 + -0.1H = 200 + 0.1H + -0.1H

Combine like terms: 0.1H + -0.1H = 0.0
240 + -0.1H = 200 + 0.0
240 + -0.1H = 200

Add '-240' to each side of the equation.
240 + -240 + -0.1H = 200 + -240

Combine like terms: 240 + -240 = 0
0 + -0.1H = 200 + -240
-0.1H = 200 + -240

Combine like terms: 200 + -240 = -40
-0.1H = -40

Divide each side by '-0.1'.
H = 400

Simplifying
H = 400

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