Question

−3−34(c−4)=54 solve for c

Answer 1

solution

`c = (79)/(34)`

As decimal

`c = 2.32352...`

Explanation:

Greetings !

Given expression

`- 3 - 34(c - 4) = 54`

Add 3 to both sides of the expression

`- 3 - 34(c - 4) + 3 = 54 + 3`

simplify

`- 34(c - 4) = 57`

Divide both sides of the expression by -34

`( - 34(c - 4))/( - 34) = (57)/( - 34)`

simplify

`c - 4 = - (57)/(34)`

Add 4 to both sidez of the expression

`c - 4 + 4 = - (57)/(34) + 4`

simplify

`c - 4 + 4 = c`

Andconvert element to fraction

`(4.34)/(34) - (51)/(34)`

Since, the denominators are equal , combine the fraction

`(a)/(c) + or - (b)/(c) = (a + or - b)/(c \\ )`

Thus,

`(4.34 - 57)/(34)`

Multiply the numbers

`4.34 = 136 \\ 136 - 57 = 79`

And finally we get the value

`c = (79)/(34)`

Hope it helps!!!