0.50c+(0.40)(600-c)=280

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Solution for 0.50c+(0.40)(600-c)=280 equation: 


Simplifying
0.50c + (0.40)(600 + -1c) = 280
0.50c + (600 * 0.40 + -1c * 0.40) = 280
0.50c + (240 + -0.4c) = 280

Reorder the terms:
240 + 0.50c + -0.4c = 280

Combine like terms: 0.50c + -0.4c = 0.1c
240 + 0.1c = 280

Solving
240 + 0.1c = 280

Solving for variable 'c'.

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

Add '-240' to each side of the equation.
240 + -240 + 0.1c = 280 + -240

Combine like terms: 240 + -240 = 0
0 + 0.1c = 280 + -240
0.1c = 280 + -240

Combine like terms: 280 + -240 = 40
0.1c = 40

Divide each side by '0.1'.
c = 400

Simplifying
c = 400

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