(w*4)+[(1-w)*11]=7.25

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Solution for (w*4)+[(1-w)*11]=7.25 equation: 


Simplifying
(w * 4) + [(1 + -1w) * 11] = 7.25

Reorder the terms for easier multiplication:
(4w) + [(1 + -1w) * 11] = 7.25

Reorder the terms for easier multiplication:
(4w) + [11(1 + -1w)] = 7.25
(4w) + [(1 * 11 + -1w * 11)] = 7.25
(4w) + [(11 + -11w)] = 7.25
(4w) + [11 + -11w] = 7.25

Remove brackets around [11 + -11w]
(4w) + 11 + -11w = 7.25

Reorder the terms:
11 + (4w) + -11w = 7.25

Combine like terms: (4w) + -11w = -7w
11 + -7w = 7.25

Solving
11 + -7w = 7.25

Solving for variable 'w'.

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

Add '-11' to each side of the equation.
11 + -11 + -7w = 7.25 + -11

Combine like terms: 11 + -11 = 0
0 + -7w = 7.25 + -11
-7w = 7.25 + -11

Combine like terms: 7.25 + -11 = -3.75
-7w = -3.75

Divide each side by '-7'.
w = 0.5357142857

Simplifying
w = 0.5357142857

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