(w*4)+(1-w)*11=6

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Solution for (w*4)+(1-w)*11=6 equation:


Simplifying
(w * 4) + (1 + -1w) * 11 = 6

Reorder the terms for easier multiplication:
(4w) + (1 + -1w) * 11 = 6

Reorder the terms for easier multiplication:
(4w) + 11(1 + -1w) = 6
(4w) + (1 * 11 + -1w * 11) = 6
(4w) + (11 + -11w) = 6

Reorder the terms:
11 + (4w) + -11w = 6

Combine like terms: (4w) + -11w = -7w
11 + -7w = 6

Solving
11 + -7w = 6

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 = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -7w = 6 + -11
-7w = 6 + -11

Combine like terms: 6 + -11 = -5
-7w = -5

Divide each side by '-7'.
w = 0.7142857143

Simplifying
w = 0.7142857143

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