1/3(9 +6m)+1/4(12m+8)

distributive's

Final result :

m + 1
Step by step solution :

Step 1 :

1
Simplify —
4
Equation at the end of step 1 :

1 1
(— • (9 - 6m)) + (— • (12m - 8))
3 4
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12m - 8 = 4 • (3m - 2)

Equation at the end of step 3 :

1
(— • (9 - 6m)) + (3m - 2)
3
Step 4 :

1
Simplify —
3
Equation at the end of step 4 :

1
(— • (9 - 6m)) + (3m - 2)
3
Step 5 :

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

9 - 6m = -3 • (2m - 3)

Equation at the end of step 6 :

(3 - 2m) + (3m - 2)
Step 7 :

Final result :

m + 1

For the first question the answer is a, for the second c, for the third d, for the 4th b, for the 5th a