-3(7w-2)+6w=3(w+1)

Solution for -3(7w-2)+6w=3(w+1) equation:

Simplifying
-3(7w + -2) + 6w = 3(w + 1)

Reorder the terms:
-3(-2 + 7w) + 6w = 3(w + 1)
(-2 * -3 + 7w * -3) + 6w = 3(w + 1)
(6 + -21w) + 6w = 3(w + 1)

Combine like terms: -21w + 6w = -15w
6 + -15w = 3(w + 1)

Reorder the terms:
6 + -15w = 3(1 + w)
6 + -15w = (1 * 3 + w * 3)
6 + -15w = (3 + 3w)

Solving
6 + -15w = 3 + 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.
6 + -15w + -3w = 3 + 3w + -3w

Combine like terms: -15w + -3w = -18w
6 + -18w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -18w = 3 + 0
6 + -18w = 3

Add '-6' to each side of the equation.
6 + -6 + -18w = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -18w = 3 + -6
-18w = 3 + -6

Combine like terms: 3 + -6 = -3
-18w = -3

Divide each side by '-18'.
w = 0.1666666667

Simplifying
w = 0.1666666667