0.5(6+w)=0.25(w+16)

Solution for 0.5(6+w)=0.25(w+16) equation:

Simplifying
0.5(6 + w) = 0.25(w + 16)
(6 * 0.5 + w * 0.5) = 0.25(w + 16)
(3 + 0.5w) = 0.25(w + 16)

Reorder the terms:
3 + 0.5w = 0.25(16 + w)
3 + 0.5w = (16 * 0.25 + w * 0.25)
3 + 0.5w = (4 + 0.25w)

Solving
3 + 0.5w = 4 + 0.25w

Solving for variable 'w'.

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

Add '-0.25w' to each side of the equation.
3 + 0.5w + -0.25w = 4 + 0.25w + -0.25w

Combine like terms: 0.5w + -0.25w = 0.25w
3 + 0.25w = 4 + 0.25w + -0.25w

Combine like terms: 0.25w + -0.25w = 0.00
3 + 0.25w = 4 + 0.00
3 + 0.25w = 4

Add '-3' to each side of the equation.
3 + -3 + 0.25w = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 0.25w = 4 + -3
0.25w = 4 + -3

Combine like terms: 4 + -3 = 1
0.25w = 1

Divide each side by '0.25'.
w = 4

Simplifying
w = 4