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

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

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

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

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

Combine like terms: 6w + 3w = 9w
6 + 9w = -1(2w + 7)

Reorder the terms:
6 + 9w = -1(7 + 2w)
6 + 9w = (7 * -1 + 2w * -1)
6 + 9w = (-7 + -2w)

Solving
6 + 9w = -7 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
6 + 9w + 2w = -7 + -2w + 2w

Combine like terms: 9w + 2w = 11w
6 + 11w = -7 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 11w = -7 + 0
6 + 11w = -7

Add '-6' to each side of the equation.
6 + -6 + 11w = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 11w = -7 + -6
11w = -7 + -6

Combine like terms: -7 + -6 = -13
11w = -13

Divide each side by '11'.
w = -1.181818182

Simplifying
w = -1.181818182