Solve 4(p-7)-3(p-4)=4p

$$4 ( p - 7 ) - 3 ( p - 4 ) = 4 p$$

Solve for p

$$p = -\frac{16}{3} = -5\frac{1}{3} \approx -5.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by p-7.

$$4p-28-3\left(p-4\right)=4p$$

Use the distributive property to multiply -3 by p-4.

$$4p-28-3p+12=4p$$

Combine 4p and -3p to get p.

$$p-28+12=4p$$

Add -28 and 12 to get -16.

$$p-16=4p$$

Subtract 4p from both sides.

$$p-16-4p=0$$

Combine p and -4p to get -3p.

$$-3p-16=0$$

Add 16 to both sides. Anything plus zero gives itself.

$$-3p=16$$

Divide both sides by -3.

$$p=\frac{16}{-3}$$

Fraction \frac{16}{-3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$p=-\frac{16}{3}$$