.5*(4a+10b)=c

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Solution for .5*(4a+10b)=c equation: 


Simplifying
0.5(4a + 10b) = c
(4a * 0.5 + 10b * 0.5) = c
(2a + 5b) = c

Solving
2a + 5b = c

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
2a + 5b + -5b = -5b + c

Combine like terms: 5b + -5b = 0
2a + 0 = -5b + c
2a = -5b + c

Divide each side by '2'.
a = -2.5b + 0.5c

Simplifying
a = -2.5b + 0.5c

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