2(w+3)-3(3w+15)=4

Solution for 2(w+3)-3(3w+15)=4 equation:

Simplifying
2(w + 3) + -3(3w + 15) = 4

Reorder the terms:
2(3 + w) + -3(3w + 15) = 4
(3 * 2 + w * 2) + -3(3w + 15) = 4
(6 + 2w) + -3(3w + 15) = 4

Reorder the terms:
6 + 2w + -3(15 + 3w) = 4
6 + 2w + (15 * -3 + 3w * -3) = 4
6 + 2w + (-45 + -9w) = 4

Reorder the terms:
6 + -45 + 2w + -9w = 4

Combine like terms: 6 + -45 = -39
-39 + 2w + -9w = 4

Combine like terms: 2w + -9w = -7w
-39 + -7w = 4

Solving
-39 + -7w = 4

Solving for variable 'w'.

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

Add '39' to each side of the equation.
-39 + 39 + -7w = 4 + 39

Combine like terms: -39 + 39 = 0
0 + -7w = 4 + 39
-7w = 4 + 39

Combine like terms: 4 + 39 = 43
-7w = 43

Divide each side by '-7'.
w = -6.142857143

Simplifying
w = -6.142857143