Final answer:
To solve the equation 6.78j - 5.2 = 4.33j + 2.15, we rearrange the equation to group like terms, then combine and isolate the variable j, which results in a value of j = 3.
Step-by-step explanation:
To solve the equation 6.78j - 5.2 = 4.33j + 2.15, we need to find the value of j. First, let's move all terms containing j to one side of the equation and the numeric terms to the other side.
Subtract 4.33j from both sides:
6.78j - 4.33j - 5.2 = 2.15
Combine like terms:
2.45j - 5.2 = 2.15
Now, add 5.2 to both sides to isolate the j term:
2.45j = 2.15 + 5.2
Combine the constants:
2.45j = 7.35
Finally, divide both sides by 2.45 to find j:
j = 7.35 / 2.45
j = 3
So, the solution to the equation is j = 3.