Question

Rearrange w=3(2a+b)-4
make a the subject

Answer 1

Explanation:

Rearrange w = 3(2a + b) - 4 to make a the subject:

w = 3(2a + b) - 4

expand right side:

w = 6a + 3b - 4

add 4 to both sides:

w + 4 = 6a + 3b - 4 + 4

w + 4 = 6a + 3b

subtract 3b from both sides:

w + 4 - 3b = 6a + 3b - 3b

w + 4 - 3b = 6a

flip flop equation for readability ease:

w + 4 - 3b = 6a becomes:

6a = w + 4 - 3b

divide both sides by 6:

6a/6 = (w + 4 - 3b)/6

a =
`(1)/(6)w + (4)/(6) -(3)/(6)b`

reduce:

a =
`(1)/(6)w + (2)/(3) -(1)/(2)b`

Now, arrange right side of equation so variables are ordered alphabetically.

Answer:
`a = -(1)/(2)b +(1)/(6) w+(2)/(3)`