7b-3(3b-1)=3(b+6)

Solution for 7b-3(3b-1)=3(b+6) equation:

Simplifying
7b + -3(3b + -1) = 3(b + 6)

Reorder the terms:
7b + -3(-1 + 3b) = 3(b + 6)
7b + (-1 * -3 + 3b * -3) = 3(b + 6)
7b + (3 + -9b) = 3(b + 6)

Reorder the terms:
3 + 7b + -9b = 3(b + 6)

Combine like terms: 7b + -9b = -2b
3 + -2b = 3(b + 6)

Reorder the terms:
3 + -2b = 3(6 + b)
3 + -2b = (6 * 3 + b * 3)
3 + -2b = (18 + 3b)

Solving
3 + -2b = 18 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
3 + -2b + -3b = 18 + 3b + -3b

Combine like terms: -2b + -3b = -5b
3 + -5b = 18 + 3b + -3b

Combine like terms: 3b + -3b = 0
3 + -5b = 18 + 0
3 + -5b = 18

Add '-3' to each side of the equation.
3 + -3 + -5b = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = 18 + -3
-5b = 18 + -3

Combine like terms: 18 + -3 = 15
-5b = 15

Divide each side by '-5'.
b = -3

Simplifying
b = -3