6(b-1)+9=2(3b-4)+b

Solution for 6(b-1)+9=2(3b-4)+b equation:

Simplifying
6(b + -1) + 9 = 2(3b + -4) + b

Reorder the terms:
6(-1 + b) + 9 = 2(3b + -4) + b
(-1 * 6 + b * 6) + 9 = 2(3b + -4) + b
(-6 + 6b) + 9 = 2(3b + -4) + b

Reorder the terms:
-6 + 9 + 6b = 2(3b + -4) + b

Combine like terms: -6 + 9 = 3
3 + 6b = 2(3b + -4) + b

Reorder the terms:
3 + 6b = 2(-4 + 3b) + b
3 + 6b = (-4 * 2 + 3b * 2) + b
3 + 6b = (-8 + 6b) + b

Combine like terms: 6b + b = 7b
3 + 6b = -8 + 7b

Solving
3 + 6b = -8 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
3 + 6b + -7b = -8 + 7b + -7b

Combine like terms: 6b + -7b = -1b
3 + -1b = -8 + 7b + -7b

Combine like terms: 7b + -7b = 0
3 + -1b = -8 + 0
3 + -1b = -8

Add '-3' to each side of the equation.
3 + -3 + -1b = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = -8 + -3
-1b = -8 + -3

Combine like terms: -8 + -3 = -11
-1b = -11

Divide each side by '-1'.
b = 11

Simplifying
b = 11