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

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

Simplifying
-2(j + -3) = -2j + b

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

Reorder the terms:
6 + -2j = b + -2j

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

Combine like terms: -2j + 2j = 0
6 + 0 = b + -2j + 2j
6 = b + -2j + 2j

Combine like terms: -2j + 2j = 0
6 = b + 0
6 = b

Solving
6 = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
6 + -1b = b + -1b

Combine like terms: b + -1b = 0
6 + -1b = 0

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6