(7w+9)-(3w+3)=

Solution for (7w+9)-(3w+3)= equation:

Simplifying
(7w + 9) + -1(3w + 3) = 0

Reorder the terms:
(9 + 7w) + -1(3w + 3) = 0

Remove parenthesis around (9 + 7w)
9 + 7w + -1(3w + 3) = 0

Reorder the terms:
9 + 7w + -1(3 + 3w) = 0
9 + 7w + (3 * -1 + 3w * -1) = 0
9 + 7w + (-3 + -3w) = 0

Reorder the terms:
9 + -3 + 7w + -3w = 0

Combine like terms: 9 + -3 = 6
6 + 7w + -3w = 0

Combine like terms: 7w + -3w = 4w
6 + 4w = 0

Solving
6 + 4w = 0

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 + 4w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 0 + -6
4w = 0 + -6

Combine like terms: 0 + -6 = -6
4w = -6

Divide each side by '4'.
w = -1.5

Simplifying
w = -1.5