3=7(w-6)+2w

Solution for 3=7(w-6)+2w equation:

Simplifying
3 = 7(w + -6) + 2w

Reorder the terms:
3 = 7(-6 + w) + 2w
3 = (-6 * 7 + w * 7) + 2w
3 = (-42 + 7w) + 2w

Combine like terms: 7w + 2w = 9w
3 = -42 + 9w

Solving
3 = -42 + 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.
3 + -9w = -42 + 9w + -9w

Combine like terms: 9w + -9w = 0
3 + -9w = -42 + 0
3 + -9w = -42

Add '-3' to each side of the equation.
3 + -3 + -9w = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -9w = -42 + -3
-9w = -42 + -3

Combine like terms: -42 + -3 = -45
-9w = -45

Divide each side by '-9'.
w = 5

Simplifying
w = 5