Question

solve the equation. 2(6t - 4) + t = 48 - t select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is {}. (simplify your answer.) b. the solution set is {all real numbers}. c. the solution set is ∅.

Explanation:

Step1: Expand left-hand side

$2(6t - 4) + t = 12t - 8 + t$

Step2: Combine like terms on left

$12t - 8 + t = 13t - 8$

Step3: Isolate variable terms

$13t + t = 48 + 8$

Step4: Combine like terms

$14t = 56$

Step5: Solve for t

$t = \frac{56}{14} = 4$

Answer:

A. The solution set is $\{4\}$. (Simplify your answer.)