(.75)(c)+(.40)(600-c)=380.00

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Solution for (.75)(c)+(.40)(600-c)=380.00 equation: 


Simplifying
(0.75)(c) + (0.40)(600 + -1c) = 380.00
0.75c + (600 * 0.40 + -1c * 0.40) = 380.00
0.75c + (240 + -0.4c) = 380.00

Reorder the terms:
240 + 0.75c + -0.4c = 380.00

Combine like terms: 0.75c + -0.4c = 0.35c
240 + 0.35c = 380.00

Solving
240 + 0.35c = 380.00

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 + 0.35c = 380.00 + -240

Combine like terms: 240 + -240 = 0
0 + 0.35c = 380.00 + -240
0.35c = 380.00 + -240

Combine like terms: 380.00 + -240 = 140
0.35c = 140

Divide each side by '0.35'.
c = 400

Simplifying
c = 400

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