Solve =2/5(15p-20)=-8p+3(p-6)

$$= \frac { 2 } { 5 } ( 15 p - 20 ) = - 8 p + 3 ( p - 6 )$$

Solve for p

$$p=-\frac{10}{11}\approx -0.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{5} by 15p-20.

$$\frac{2}{5}\times 15p+\frac{2}{5}\left(-20\right)=-8p+3\left(p-6\right)$$

Express \frac{2}{5}\times 15 as a single fraction.

$$\frac{2\times 15}{5}p+\frac{2}{5}\left(-20\right)=-8p+3\left(p-6\right)$$

Multiply 2 and 15 to get 30.

$$\frac{30}{5}p+\frac{2}{5}\left(-20\right)=-8p+3\left(p-6\right)$$

Divide 30 by 5 to get 6.

$$6p+\frac{2}{5}\left(-20\right)=-8p+3\left(p-6\right)$$

Express \frac{2}{5}\left(-20\right) as a single fraction.

$$6p+\frac{2\left(-20\right)}{5}=-8p+3\left(p-6\right)$$

Multiply 2 and -20 to get -40.

$$6p+\frac{-40}{5}=-8p+3\left(p-6\right)$$

Divide -40 by 5 to get -8.

$$6p-8=-8p+3\left(p-6\right)$$

Use the distributive property to multiply 3 by p-6.

$$6p-8=-8p+3p-18$$

Combine -8p and 3p to get -5p.

$$6p-8=-5p-18$$

Add 5p to both sides.

$$6p-8+5p=-18$$

Combine 6p and 5p to get 11p.

$$11p-8=-18$$

Add 8 to both sides.

$$11p=-18+8$$

Add -18 and 8 to get -10.

$$11p=-10$$

Divide both sides by 11.

$$p=\frac{-10}{11}$$

Fraction \frac{-10}{11} can be rewritten as -\frac{10}{11} by extracting the negative sign.

$$p=-\frac{10}{11}$$