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

Solution for -6(w+1)=(1-3w)-7 equation:

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

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

Remove parenthesis around (1 + -3w)
-6 + -6w = 1 + -3w + -7

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

Combine like terms: 1 + -7 = -6
-6 + -6w = -6 + -3w

Add '6' to each side of the equation.
-6 + 6 + -6w = -6 + 6 + -3w

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

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

Solving
-6w = -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-6w + 3w = -3w + 3w

Combine like terms: -6w + 3w = -3w
-3w = -3w + 3w

Combine like terms: -3w + 3w = 0
-3w = 0

Divide each side by '-3'.
w = 0

Simplifying
w = 0