Solve for p 20+4-10+4p=65-34

$20 + 4 - 10 + 4 p = 65 - 34$

Step 1

Simplify $20 + 4 - 10 + 4 p$ .

Add $20$ and $4$ .

$24 - 10 + 4 p = 65 - 34$

Subtract $10$ from $24$ .

$14 + 4 p = 65 - 34$

Step 2

Subtract $34$ from $65$ .

$14 + 4 p = 31$

Step 3

Move all terms not containing $p$ to the right side of the equation.

Subtract $14$ from both sides of the equation.

$4 p = 31 - 14$

Subtract $14$ from $31$ .

$4 p = 17$

Step 4

Divide each term in $4 p = 17$ by $4$ and simplify.

Divide each term in $4 p = 17$ by $4$ .

$\frac{4 p}{4} = \frac{17}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 p}{4} = \frac{17}{4}$

Divide $p$ by $1$ .

$p = \frac{17}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$p = \frac{17}{4}$

Decimal Form:

$p = 4.25$

Mixed Number Form:

$p = 4 \frac{1}{4}$