Solve 6/2r+16=1.375

$$\frac { 6 } { 2 r + 16 } = 1.375$$

Solve for r

$$r = -\frac{64}{11} = -5\frac{9}{11} \approx -5.818181818$$

Steps for Solving Linear Equation

Variable r cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 2\left(r+8\right).

$$6=2.75\left(r+8\right)$$

Use the distributive property to multiply 2.75 by r+8.

$$6=2.75r+22$$

Swap sides so that all variable terms are on the left hand side.

$$2.75r+22=6$$

Subtract 22 from both sides.

$$2.75r=6-22$$

Subtract 22 from 6 to get -16.

$$2.75r=-16$$

Divide both sides by 2.75.

$$r=\frac{-16}{2.75}$$

Expand \frac{-16}{2.75} by multiplying both numerator and the denominator by 100.

$$r=\frac{-1600}{275}$$

Reduce the fraction \frac{-1600}{275} to lowest terms by extracting and canceling out 25.

$$r=-\frac{64}{11}$$