4n-10p=2

Add 10p to both sides of the equation.

4n=2+10p

Divide each term in 4n=2+10p by 4.

4n4=24+10p4

Cancel the common factor of 4.

Cancel the common factor.

4n4=24+10p4

Divide n by 1.

n=24+10p4

n=24+10p4

Simplify each term.

Cancel the common factor of 2 and 4.

Factor 2 out of 2.

n=2(1)4+10p4

Cancel the common factors.

Factor 2 out of 4.

n=2⋅12⋅2+10p4

Cancel the common factor.

n=2⋅12⋅2+10p4

Rewrite the expression.

n=12+10p4

n=12+10p4

n=12+10p4

Cancel the common factor of 10 and 4.

Factor 2 out of 10p.

n=12+2(5p)4

Cancel the common factors.

Factor 2 out of 4.

n=12+2(5p)2(2)

Cancel the common factor.

n=12+2(5p)2⋅2

Rewrite the expression.

n=12+5p2

n=12+5p2

n=12+5p2

n=12+5p2

n=12+5p2

Solve for n 4n-10p=2