Solve -4(r+6)=-55

$$- 4 ( r + 6 ) = - 55$$

Solve for r

$$r = \frac{31}{4} = 7\frac{3}{4} = 7.75$$

Steps for Solving Linear Equation

Divide both sides by -4.

$$r+6=\frac{-55}{-4}$$

Fraction \frac{-55}{-4} can be simplified to \frac{55}{4} by removing the negative sign from both the numerator and the denominator.

$$r+6=\frac{55}{4}$$

Subtract 6 from both sides.

$$r=\frac{55}{4}-6$$

Convert 6 to fraction \frac{24}{4}.

$$r=\frac{55}{4}-\frac{24}{4}$$

Since \frac{55}{4} and \frac{24}{4} have the same denominator, subtract them by subtracting their numerators.

$$r=\frac{55-24}{4}$$

Subtract 24 from 55 to get 31.

$$r=\frac{31}{4}$$