Solve 4(r+3)-11=5(r-6)+26

$$4 ( r + 3 ) - 11 = 5 ( r - 6 ) + 26$$

Solve for r

$$r=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by r+3.

$$4r+12-11=5\left(r-6\right)+26$$

Subtract 11 from 12 to get 1.

$$4r+1=5\left(r-6\right)+26$$

Use the distributive property to multiply 5 by r-6.

$$4r+1=5r-30+26$$

Add -30 and 26 to get -4.

$$4r+1=5r-4$$

Subtract 5r from both sides.

$$4r+1-5r=-4$$

Combine 4r and -5r to get -r.

$$-r+1=-4$$

Subtract 1 from both sides.

$$-r=-4-1$$

Subtract 1 from -4 to get -5.

$$-r=-5$$

Multiply both sides by -1.

$$r=5$$