c*7.05+(8-c)*4.5=43.65

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Solution for c*7.05+(8-c)*4.5=43.65 equation: 


Simplifying
c * 7.05 + (8 + -1c) * 4.5 = 43.65

Reorder the terms for easier multiplication:
7.05c + (8 + -1c) * 4.5 = 43.65

Reorder the terms for easier multiplication:
7.05c + 4.5(8 + -1c) = 43.65
7.05c + (8 * 4.5 + -1c * 4.5) = 43.65
7.05c + (36 + -4.5c) = 43.65

Reorder the terms:
36 + 7.05c + -4.5c = 43.65

Combine like terms: 7.05c + -4.5c = 2.55c
36 + 2.55c = 43.65

Solving
36 + 2.55c = 43.65

Solving for variable 'c'.

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

Add '-36' to each side of the equation.
36 + -36 + 2.55c = 43.65 + -36

Combine like terms: 36 + -36 = 0
0 + 2.55c = 43.65 + -36
2.55c = 43.65 + -36

Combine like terms: 43.65 + -36 = 7.65
2.55c = 7.65

Divide each side by '2.55'.
c = 3

Simplifying
c = 3

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