0.75C+0.40(400-C)=275

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Solution for 0.75C+0.40(400-C)=275 equation: 


Simplifying
0.75C + 0.40(400 + -1C) = 275
0.75C + (400 * 0.40 + -1C * 0.40) = 275
0.75C + (160 + -0.4C) = 275

Reorder the terms:
160 + 0.75C + -0.4C = 275

Combine like terms: 0.75C + -0.4C = 0.35C
160 + 0.35C = 275

Solving
160 + 0.35C = 275

Solving for variable 'C'.

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

Add '-160' to each side of the equation.
160 + -160 + 0.35C = 275 + -160

Combine like terms: 160 + -160 = 0
0 + 0.35C = 275 + -160
0.35C = 275 + -160

Combine like terms: 275 + -160 = 115
0.35C = 115

Divide each side by '0.35'.
C = 328.5714286

Simplifying
C = 328.5714286

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