4w-6=-6(w-9)

Solution for 4w-6=-6(w-9) equation:

Simplifying
4w + -6 = -6(w + -9)

Reorder the terms:
-6 + 4w = -6(w + -9)

Reorder the terms:
-6 + 4w = -6(-9 + w)
-6 + 4w = (-9 * -6 + w * -6)
-6 + 4w = (54 + -6w)

Solving
-6 + 4w = 54 + -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 + 4w + 6w = 54 + -6w + 6w

Combine like terms: 4w + 6w = 10w
-6 + 10w = 54 + -6w + 6w

Combine like terms: -6w + 6w = 0
-6 + 10w = 54 + 0
-6 + 10w = 54

Add '6' to each side of the equation.
-6 + 6 + 10w = 54 + 6

Combine like terms: -6 + 6 = 0
0 + 10w = 54 + 6
10w = 54 + 6

Combine like terms: 54 + 6 = 60
10w = 60

Divide each side by '10'.
w = 6

Simplifying
w = 6