what is the solution to the linear equation?\n$\frac{2}{5}+p=\frac{4}{5}+\frac{3}{5}p$\n$p = 1$\n$p = 2$\n$p…

Explanation:

Step1: Move terms with p to one - side

Subtract $\frac{3}{5}p$ from both sides and subtract $\frac{2}{5}$ from both sides: $p-\frac{3}{5}p=\frac{4}{5}-\frac{2}{5}$

Step2: Simplify both sides

On the left - hand side, $p-\frac{3}{5}p=\frac{5p - 3p}{5}=\frac{2p}{5}$. On the right - hand side, $\frac{4}{5}-\frac{2}{5}=\frac{4 - 2}{5}=\frac{2}{5}$. So we have $\frac{2p}{5}=\frac{2}{5}$.

Step3: Solve for p

Multiply both sides by $\frac{5}{2}$: $p=\frac{2}{5}\times\frac{5}{2}=1$

Answer:

$p = 1$