13c+9.25(38-c)=434

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Solution for 13c+9.25(38-c)=434 equation:


Simplifying
13c + 9.25(38 + -1c) = 434
13c + (38 * 9.25 + -1c * 9.25) = 434
13c + (351.5 + -9.25c) = 434

Reorder the terms:
351.5 + 13c + -9.25c = 434

Combine like terms: 13c + -9.25c = 3.75c
351.5 + 3.75c = 434

Solving
351.5 + 3.75c = 434

Solving for variable 'c'.

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

Add '-351.5' to each side of the equation.
351.5 + -351.5 + 3.75c = 434 + -351.5

Combine like terms: 351.5 + -351.5 = 0.0
0.0 + 3.75c = 434 + -351.5
3.75c = 434 + -351.5

Combine like terms: 434 + -351.5 = 82.5
3.75c = 82.5

Divide each side by '3.75'.
c = 22

Simplifying
c = 22

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