4(r-9)+2=5(r+3)-26

Solution for 4(r-9)+2=5(r+3)-26 equation:

Simplifying
4(r + -9) + 2 = 5(r + 3) + -26

Reorder the terms:
4(-9 + r) + 2 = 5(r + 3) + -26
(-9 * 4 + r * 4) + 2 = 5(r + 3) + -26
(-36 + 4r) + 2 = 5(r + 3) + -26

Reorder the terms:
-36 + 2 + 4r = 5(r + 3) + -26

Combine like terms: -36 + 2 = -34
-34 + 4r = 5(r + 3) + -26

Reorder the terms:
-34 + 4r = 5(3 + r) + -26
-34 + 4r = (3 * 5 + r * 5) + -26
-34 + 4r = (15 + 5r) + -26

Reorder the terms:
-34 + 4r = 15 + -26 + 5r

Combine like terms: 15 + -26 = -11
-34 + 4r = -11 + 5r

Solving
-34 + 4r = -11 + 5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.
-34 + 4r + -5r = -11 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-34 + -1r = -11 + 5r + -5r

Combine like terms: 5r + -5r = 0
-34 + -1r = -11 + 0
-34 + -1r = -11

Add '34' to each side of the equation.
-34 + 34 + -1r = -11 + 34

Combine like terms: -34 + 34 = 0
0 + -1r = -11 + 34
-1r = -11 + 34

Combine like terms: -11 + 34 = 23
-1r = 23

Divide each side by '-1'.
r = -23

Simplifying
r = -23