(w-1)=3(3w+2)

Solution for (w-1)=3(3w+2) equation:

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

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

Remove parenthesis around (-1 + w)
-1 + w = 3(3w + 2)

Reorder the terms:
-1 + w = 3(2 + 3w)
-1 + w = (2 * 3 + 3w * 3)
-1 + w = (6 + 9w)

Solving
-1 + w = 6 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-1 + w + -9w = 6 + 9w + -9w

Combine like terms: w + -9w = -8w
-1 + -8w = 6 + 9w + -9w

Combine like terms: 9w + -9w = 0
-1 + -8w = 6 + 0
-1 + -8w = 6

Add '1' to each side of the equation.
-1 + 1 + -8w = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -8w = 6 + 1
-8w = 6 + 1

Combine like terms: 6 + 1 = 7
-8w = 7

Divide each side by '-8'.
w = -0.875

Simplifying
w = -0.875