(4.6)=(3.5w)-6.6

Solution for (4.6)=(3.5w)-6.6 equation:

Simplifying
(4.6) = (3.5w) + -6.6
4.6 = (3.5w) + -6.6

Reorder the terms:
4.6 = -6.6 + (3.5w)

Solving
4.6 = -6.6 + (3.5w)

Solving for variable 'w'.

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

Add '(-3.5w)' to each side of the equation.
4.6 + (-3.5w) = -6.6 + (3.5w) + (-3.5w)

Combine like terms: (3.5w) + (-3.5w) = 0.0
4.6 + (-3.5w) = -6.6 + 0.0
4.6 + (-3.5w) = -6.6

Add '-4.6' to each side of the equation.
4.6 + -4.6 + (-3.5w) = -6.6 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + (-3.5w) = -6.6 + -4.6
(-3.5w) = -6.6 + -4.6

Combine like terms: -6.6 + -4.6 = -11.2
(-3.5w) = -11.2

Divide each side by '-3.5'.
w = 3.2

Simplifying
w = 3.2