6w+7(w+6)=-23

Solution for 6w+7(w+6)=-23 equation:

Simplifying
6w + 7(w + 6) = -23

Reorder the terms:
6w + 7(6 + w) = -23
6w + (6 * 7 + w * 7) = -23
6w + (42 + 7w) = -23

Reorder the terms:
42 + 6w + 7w = -23

Combine like terms: 6w + 7w = 13w
42 + 13w = -23

Solving
42 + 13w = -23

Solving for variable 'w'.

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

Add '-42' to each side of the equation.
42 + -42 + 13w = -23 + -42

Combine like terms: 42 + -42 = 0
0 + 13w = -23 + -42
13w = -23 + -42

Combine like terms: -23 + -42 = -65
13w = -65

Divide each side by '13'.
w = -5

Simplifying
w = -5