w*4.7+(1-w)*11.8=10

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Solution for w*4.7+(1-w)*11.8=10 equation: 


Simplifying
w * 4.7 + (1 + -1w) * 11.8 = 10

Reorder the terms for easier multiplication:
4.7w + (1 + -1w) * 11.8 = 10

Reorder the terms for easier multiplication:
4.7w + 11.8(1 + -1w) = 10
4.7w + (1 * 11.8 + -1w * 11.8) = 10
4.7w + (11.8 + -11.8w) = 10

Reorder the terms:
11.8 + 4.7w + -11.8w = 10

Combine like terms: 4.7w + -11.8w = -7.1w
11.8 + -7.1w = 10

Solving
11.8 + -7.1w = 10

Solving for variable 'w'.

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

Add '-11.8' to each side of the equation.
11.8 + -11.8 + -7.1w = 10 + -11.8

Combine like terms: 11.8 + -11.8 = 0.0
0.0 + -7.1w = 10 + -11.8
-7.1w = 10 + -11.8

Combine like terms: 10 + -11.8 = -1.8
-7.1w = -1.8

Divide each side by '-7.1'.
w = 0.2535211268

Simplifying
w = 0.2535211268

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