6=3w+7(w-2)

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

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

Reorder the terms:
6 = 3w + 7(-2 + w)
6 = 3w + (-2 * 7 + w * 7)
6 = 3w + (-14 + 7w)

Reorder the terms:
6 = -14 + 3w + 7w

Combine like terms: 3w + 7w = 10w
6 = -14 + 10w

Solving
6 = -14 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
6 + -10w = -14 + 10w + -10w

Combine like terms: 10w + -10w = 0
6 + -10w = -14 + 0
6 + -10w = -14

Add '-6' to each side of the equation.
6 + -6 + -10w = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -10w = -14 + -6
-10w = -14 + -6

Combine like terms: -14 + -6 = -20
-10w = -20

Divide each side by '-10'.
w = 2

Simplifying
w = 2