euler
No. 01
No. 75E2 · Apr 26

Screenshot 2026-04-26 121654.png

recorded 4/26/2026, 4:17:19 PM

Screenshot 2026-04-26 121654.png
Figure 1 · Screenshot 2026-04-26 121654.png
Solution
Problem statement

(2t+3t4t)+4=6+2(2t + 3t - 4t) + 4 = 6 + 2

Initial response

To solve the equation (2t+3t4t)+4=6+2(2t + 3t - 4t) + 4 = 6 + 2, we follow these steps:

  1. Simplify the terms inside the parenthesis: 2t+3t4t=(2+34)t=(54)t=1t=t2t + 3t - 4t = (2 + 3 - 4)t = (5 - 4)t = 1t = t

  2. Simplify the terms on the right side of the equation: 6+2=86 + 2 = 8

  3. Substitute the simplified terms back into the equation: t+4=8t + 4 = 8

  4. Isolate 't' by subtracting 4 from both sides of the equation: t+44=84t + 4 - 4 = 8 - 4 t=4t = 4

Thus, the solution is t=4t=4.

The final answer is 4\boxed{4}.

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