Final answer:
To solve the equation 12/3m + 2 = 21/6 for the value of m, multiply both sides by 6, simplify the equation, subtract 12, then solve for m. m = 8/3
Step-by-step explanation:
To solve the equation 12/3m + 2 = 21/6 for the value of m, we first need to get rid of the fraction by multiplying both sides of the equation by 6. This gives us:
72/3m + 12 = 21
Next, we can simplify the equation by dividing both sides by 3, which gives us:
24/m + 12 = 21
Now, we can subtract 12 from both sides of the equation:
24/m = 9
Finally, we can solve for m by multiplying both sides by m and then dividing both sides by 9:
m = 24/9
m = 8/3