Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)
1/2r+3/2r+-2=1/4r+6
(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)
2r+-2=1/4r+6
2r-2=1/4r+6
Step 2: Subtract 1/4r from both sides.
2r-2-1/4r=14r+6-14r
7/4r-2=6
Step 3: Add 2 to both sides.
7/4r-2+2=6+2
7/4r=8
Step 4: Multiply both sides by 4/7.
(4/7)*(7/4r)=(4/7)*(8)
r=32/7
Answer: r=32/7
hope this helps :)