Solve -75(p-6)=-7.5

$$- 75 ( p - 6 ) = - 7.5$$

Solve for p

$$p=6.1$$

Steps for Solving Linear Equation

Divide both sides by -75.

$$p-6=\frac{-7.5}{-75}$$

Expand \frac{-7.5}{-75} by multiplying both numerator and the denominator by 10.

$$p-6=\frac{-75}{-750}$$

Reduce the fraction \frac{-75}{-750} to lowest terms by extracting and canceling out -75.

$$p-6=\frac{1}{10}$$

Add 6 to both sides.

$$p=\frac{1}{10}+6$$

Convert 6 to fraction \frac{60}{10}.

$$p=\frac{1}{10}+\frac{60}{10}$$

Since \frac{1}{10} and \frac{60}{10} have the same denominator, add them by adding their numerators.

$$p=\frac{1+60}{10}$$

Add 1 and 60 to get 61.

$$p=\frac{61}{10}$$