Solve for p -6(-3p-6)-20p=-2p+2

$- 6 (- 3 p - 6) - 20 p = - 2 p + 2$

Step 1

Simplify $- 6 (- 3 p - 6) - 20 p$ .

Simplify each term.

Apply the distributive property.

$- 6 (- 3 p) - 6 \cdot - 6 - 20 p = - 2 p + 2$

Multiply $- 3$ by $- 6$ .

$18 p - 6 \cdot - 6 - 20 p = - 2 p + 2$

Multiply $- 6$ by $- 6$ .

$18 p + 36 - 20 p = - 2 p + 2$

Subtract $20 p$ from $18 p$ .

$- 2 p + 36 = - 2 p + 2$

Step 2

Move all terms containing $p$ to the left side of the equation.

Add $2 p$ to both sides of the equation.

$- 2 p + 36 + 2 p = 2$

Combine the opposite terms in $- 2 p + 36 + 2 p$ .

Add $- 2 p$ and $2 p$ .

$0 + 36 = 2$

Add $0$ and $36$ .

$36 = 2$

Step 3

Since $36 \neq 2$ , there are no solutions.

No solution