The value of c is -5 / 2.
We are given,
4c + 9 = [ 8c + 1 - (2c - 11) ] / 3
We have to solve for c.
While solving this equation we need to be careful about the signs and use the operation carefully.
Let us solve for c.
4c + 9 = [ 8c + 1 - (2c - 11) ] / 3
Removing the brackets.
4c + 9 = ( 8c + 1 - 2c + 11 ) / 3
Removing the fraction.
3 x (4c + 9) = 6c + 12
Applying Distributive multiplication over addition.
12c + 27 = 6c + 12
Keeping the like terms in one place.
12c - 6c = 12 - 27
Making into a simpler form.
6c = - 15
Dividing with 3.
c = -15 / 6
We get,
c = -5 / 2
Thus the value of c is -5 / 2.
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