Answer:
Simplifying
5[x + -4] + 4 + r = 4[x + 3] + x
Reorder the terms:
5[-4 + x] + 4 + r = 4[x + 3] + x
[-4 * 5 + x * 5] + 4 + r = 4[x + 3] + x
[-20 + 5x] + 4 + r = 4[x + 3] + x
Reorder the terms:
-20 + 4 + r + 5x = 4[x + 3] + x
Combine like terms: -20 + 4 = -16
-16 + r + 5x = 4[x + 3] + x
Reorder the terms:
-16 + r + 5x = 4[3 + x] + x
-16 + r + 5x = [3 * 4 + x * 4] + x
-16 + r + 5x = [12 + 4x] + x
Combine like terms: 4x + x = 5x
-16 + r + 5x = 12 + 5x
Add '-5x' to each side of the equation.
-16 + r + 5x + -5x = 12 + 5x + -5x
Combine like terms: 5x + -5x = 0
-16 + r + 0 = 12 + 5x + -5x
-16 + r = 12 + 5x + -5x
Combine like terms: 5x + -5x = 0
-16 + r = 12 + 0
-16 + r = 12
Solving
-16 + r = 12
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + r = 12 + 16
Combine like terms: -16 + 16 = 0
0 + r = 12 + 16
r = 12 + 16
Combine like terms: 12 + 16 = 28
r = 28
Simplifying
r = 28
