0.40C+(0.50)(700-C)=320

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Solution for 0.40C+(0.50)(700-C)=320 equation: 


Simplifying
0.40C + (0.50)(700 + -1C) = 320
0.40C + (700 * 0.50 + -1C * 0.50) = 320
0.40C + (350 + -0.5C) = 320

Reorder the terms:
350 + 0.40C + -0.5C = 320

Combine like terms: 0.40C + -0.5C = -0.1C
350 + -0.1C = 320

Solving
350 + -0.1C = 320

Solving for variable 'C'.

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

Add '-350' to each side of the equation.
350 + -350 + -0.1C = 320 + -350

Combine like terms: 350 + -350 = 0
0 + -0.1C = 320 + -350
-0.1C = 320 + -350

Combine like terms: 320 + -350 = -30
-0.1C = -30

Divide each side by '-0.1'.
C = 300

Simplifying
C = 300

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