-3(-2w+5.4)+4.1w=42.06

Solution for -3(-2w+5.4)+4.1w=42.06 equation:

Simplifying
-3(-2w + 5.4) + 4.1w = 42.06

Reorder the terms:
-3(5.4 + -2w) + 4.1w = 42.06
(5.4 * -3 + -2w * -3) + 4.1w = 42.06
(-16.2 + 6w) + 4.1w = 42.06

Combine like terms: 6w + 4.1w = 10.1w
-16.2 + 10.1w = 42.06

Solving
-16.2 + 10.1w = 42.06

Solving for variable 'w'.

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

Add '16.2' to each side of the equation.
-16.2 + 16.2 + 10.1w = 42.06 + 16.2

Combine like terms: -16.2 + 16.2 = 0.0
0.0 + 10.1w = 42.06 + 16.2
10.1w = 42.06 + 16.2

Combine like terms: 42.06 + 16.2 = 58.26
10.1w = 58.26

Divide each side by '10.1'.
w = 5.768316832

Simplifying
w = 5.768316832