Solve 5r-13-6r=3(r+5)-16

$$5 r - 13 - 6 r = 3 ( r + 5 ) - 16$$

Solve for r

$$r=-3$$

Steps for Solving Linear Equation

Combine 5r and -6r to get -r.

$$-r-13=3\left(r+5\right)-16$$

Use the distributive property to multiply 3 by r+5.

$$-r-13=3r+15-16$$

Subtract 16 from 15 to get -1.

$$-r-13=3r-1$$

Subtract 3r from both sides.

$$-r-13-3r=-1$$

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

$$-4r-13=-1$$

Add 13 to both sides.

$$-4r=-1+13$$

Add -1 and 13 to get 12.

$$-4r=12$$

Divide both sides by -4.

$$r=\frac{12}{-4}$$

Divide 12 by -4 to get -3.

$$r=-3$$