Question

(\frac{1}{2} + \frac{2}{5}t - 1 = \frac{1}{5}t + 1)

Explanation:

Step1: Simplify both sides

Left side: $\frac{1}{2} + \frac{2}{5}t - 1=\frac{2}{5}t-\frac{1}{2}$; Right side: $\frac{1}{5}t + 1$.

Step2: Move terms with t to left and constants to right

$\frac{2}{5}t-\frac{1}{5}t=1 + \frac{1}{2}$.

Step3: Combine like terms

$\frac{1}{5}t=\frac{3}{2}$.

Step4: Solve for t

Multiply both sides by 5: $t=\frac{15}{2}$.

Answer:

$t = \frac{15}{2}$