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

Explanation:

Step1: Eliminate the fractions by multiplying each term by 5

$$ \begin{align*} 5\times\frac{2}{5}+5\times p&=5\times\frac{4}{5}+5\times\frac{3}{5}p\ 2 + 5p&=4+3p \end{align*} $$

Step2: Move the variable terms to one side and constants to the other side

Subtract (3p) from both sides: (2 + 5p-3p=4+3p - 3p), which gives (2+2p = 4). Then subtract 2 from both sides: (2+2p-2=4 - 2), resulting in (2p=2).

Step3: Solve for (p)

Divide both sides by 2: (p=\frac{2}{2}=1)

Answer:

(p = 1) (the first option)