6-3b=-3-2(-b+3)

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

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

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

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

Solving
6 + -3b = -9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
6 + -3b + -2b = -9 + 2b + -2b

Combine like terms: -3b + -2b = -5b
6 + -5b = -9 + 2b + -2b

Combine like terms: 2b + -2b = 0
6 + -5b = -9 + 0
6 + -5b = -9

Add '-6' to each side of the equation.
6 + -6 + -5b = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = -9 + -6
-5b = -9 + -6

Combine like terms: -9 + -6 = -15
-5b = -15

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

Simplifying
b = 3