3(2r+11)-156=75-4(6r-3)

Solution for 3(2r+11)-156=75-4(6r-3) equation:

Simplifying
3(2r + 11) + -156 = 75 + -4(6r + -3)

Reorder the terms:
3(11 + 2r) + -156 = 75 + -4(6r + -3)
(11 * 3 + 2r * 3) + -156 = 75 + -4(6r + -3)
(33 + 6r) + -156 = 75 + -4(6r + -3)

Reorder the terms:
33 + -156 + 6r = 75 + -4(6r + -3)

Combine like terms: 33 + -156 = -123
-123 + 6r = 75 + -4(6r + -3)

Reorder the terms:
-123 + 6r = 75 + -4(-3 + 6r)
-123 + 6r = 75 + (-3 * -4 + 6r * -4)
-123 + 6r = 75 + (12 + -24r)

Combine like terms: 75 + 12 = 87
-123 + 6r = 87 + -24r

Solving
-123 + 6r = 87 + -24r

Solving for variable 'r'.

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

Add '24r' to each side of the equation.
-123 + 6r + 24r = 87 + -24r + 24r

Combine like terms: 6r + 24r = 30r
-123 + 30r = 87 + -24r + 24r

Combine like terms: -24r + 24r = 0
-123 + 30r = 87 + 0
-123 + 30r = 87

Add '123' to each side of the equation.
-123 + 123 + 30r = 87 + 123

Combine like terms: -123 + 123 = 0
0 + 30r = 87 + 123
30r = 87 + 123

Combine like terms: 87 + 123 = 210
30r = 210

Divide each side by '30'.
r = 7

Simplifying
r = 7