To solve this equation, we will first convert all the mixed numbers into improper fractions.
12 7/23 = (12 * 23 + 7) / 23 = 287/23
6 18/23 = (6 * 23 + 18) / 23 = 156/23
3 21/23 = (3 * 23 + 21) / 23 = 90/23
5 19/23 = (5 * 23 + 19) / 23 = 124/23
Now the equation becomes:
287/23 - (156/23 - t) = 90/23 + 124/23
Simplify the equation:
287/23 - 156/23 + t = 214/23
Add like terms:
131/23 + t = 214/23
Subtract 131/23 from both sides to solve for t:
t = 214/23 - 131/23
t = 83/23
Therefore, t = 3 14/23.
To solve this equation, we will first convert all the mixed numbers into improper fractions.
12 7/23 = (12 * 23 + 7) / 23 = 287/23
6 18/23 = (6 * 23 + 18) / 23 = 156/23
3 21/23 = (3 * 23 + 21) / 23 = 90/23
5 19/23 = (5 * 23 + 19) / 23 = 124/23
Now the equation becomes:
287/23 - (156/23 - t) = 90/23 + 124/23
Simplify the equation:
287/23 - 156/23 + t = 214/23
Add like terms:
131/23 + t = 214/23
Subtract 131/23 from both sides to solve for t:
t = 214/23 - 131/23
t = 83/23
Therefore, t = 3 14/23.