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

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

Simplifying
6w + 3(w + 2) = -1(w + 7) + w

Reorder the terms:
6w + 3(2 + w) = -1(w + 7) + w
6w + (2 * 3 + w * 3) = -1(w + 7) + w
6w + (6 + 3w) = -1(w + 7) + w

Reorder the terms:
6 + 6w + 3w = -1(w + 7) + w

Combine like terms: 6w + 3w = 9w
6 + 9w = -1(w + 7) + w

Reorder the terms:
6 + 9w = -1(7 + w) + w
6 + 9w = (7 * -1 + w * -1) + w
6 + 9w = (-7 + -1w) + w

Combine like terms: -1w + w = 0
6 + 9w = -7 + 0
6 + 9w = -7

Solving
6 + 9w = -7

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 9w = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 9w = -7 + -6
9w = -7 + -6

Combine like terms: -7 + -6 = -13
9w = -13

Divide each side by '9'.
w = -1.444444444

Simplifying
w = -1.444444444