42=5.25(2+w)

Solution for 42=5.25(2+w) equation:

Simplifying
42 = 5.25(2 + w)
42 = (2 * 5.25 + w * 5.25)
42 = (10.5 + 5.25w)

Solving
42 = 10.5 + 5.25w

Solving for variable 'w'.

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

Add '-5.25w' to each side of the equation.
42 + -5.25w = 10.5 + 5.25w + -5.25w

Combine like terms: 5.25w + -5.25w = 0.00
42 + -5.25w = 10.5 + 0.00
42 + -5.25w = 10.5

Add '-42' to each side of the equation.
42 + -42 + -5.25w = 10.5 + -42

Combine like terms: 42 + -42 = 0
0 + -5.25w = 10.5 + -42
-5.25w = 10.5 + -42

Combine like terms: 10.5 + -42 = -31.5
-5.25w = -31.5

Divide each side by '-5.25'.
w = 6

Simplifying
w = 6