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C_(2)quad5t-3=3t-5

C25t3=3t5 C_{2} \quad 5 t-3=3 t-5

Full solution

Q. C25t3=3t5 C_{2} \quad 5 t-3=3 t-5
  1. Get tt terms together: First, let's get all the tt terms on one side by subtracting 3t3t from both sides.\newline5t33t=3t53t5t - 3 - 3t = 3t - 5 - 3t\newline2t3=52t - 3 = -5
  2. Isolate tt: Now, we'll isolate tt by adding 33 to both sides.\newline2t3+3=5+32t - 3 + 3 = -5 + 3\newline2t=22t = -2
  3. Divide by 22: Finally, divide both sides by 22 to solve for tt.2t2=22\frac{2t}{2} = \frac{-2}{2}t=1t = -1

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