Solve for w when g=1/6(w+40)

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

g = 1/6 ( w + 40 ) 

Solve for w.

Solution:

In order to solve for w, we simply need to distribute first 1/6 to each value inside the parenthesis.

g = 1/6( w + 40 )

g = 1/6w + 40/6

Transpose 40/6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

1/6w = g - 40/6

Multiply both sides by 6 in order to cancel out 1/6, leaving behind w.

(6)(1/6w) = (6)(g - 40/6)

w = 6g - 40

Final answer:

w = 6g - 40