2w+6=6(w-1)

Solution for 2w+6=6(w-1) equation:

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

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

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

Solving
6 + 2w = -6 + 6w

Solving for variable 'w'.

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

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

Combine like terms: 2w + -6w = -4w
6 + -4w = -6 + 6w + -6w

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

Add '-6' to each side of the equation.
6 + -6 + -4w = -6 + -6

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

Combine like terms: -6 + -6 = -12
-4w = -12

Divide each side by '-4'.
w = 3

Simplifying
w = 3