An equation is shown below. 12 - 6 (w - 3) = 3 ( - 5 - 3w) + 21 Enter the solution of w for this equation.

Simplifying

12 + - 6 (w + - 3) = 3 (-5 + - 3w) + 21

Reorder the terms:

12 + - 6 (-3 + w) = 3 (-5 + - 3w) + 21

12 + (-3 * - 6 + w * - 6) = 3 (-5 + - 3w) + 21

12 + (18 + - 6w) = 3 (-5 + - 3w) + 21

Combine like terms: 12 + 18 = 30

30 + - 6w = 3 (-5 + - 3w) + 21

30 + - 6w = (-5 * 3 + - 3w * 3) + 21

30 + - 6w = (-15 + - 9w) + 21

Reorder the terms:

30 + - 6w = - 15 + 21 + - 9w

Combine like terms: - 15 + 21 = 6

30 + - 6w = 6 + - 9w

Solving

30 + - 6w = 6 + - 9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.

30 + - 6w + 9w = 6 + - 9w + 9w

Combine like terms: - 6w + 9w = 3w

30 + 3w = 6 + - 9w + 9w

Combine like terms: - 9w + 9w = 0

30 + 3w = 6 + 0

30 + 3w = 6

Add '-30' to each side of the equation.

30 + - 30 + 3w = 6 + - 30

Combine like terms: 30 + - 30 = 0

0 + 3w = 6 + - 30

3w = 6 + - 30

Combine like terms: 6 + - 30 = - 24

3w = - 24

Divide each side by '3'.

w = - 8

Simplifying

w = - 8