Question

Solve for r.
Give an exact answer.
1/2r-3=3(4-3/2r)

Answer 1

r = 3

Explanation:

distribute 3 through the parentheses

1/2r - 3= 12 - 9/2r

multiply both sides of the equation by 2

r - 6 = 24 - 9r

move the variable to the left-hand side and change its sign

r - 6 + 9r = 24

move the constant to the right-hand side and change its sign

r + 9r = 24 + 6

collect like terms

10r = 24 + 6

add the numbers

10r = 30

divide both sides of the equation by 10

r = 3

and you’re done