.12=w*(.19)+(1-w)*(.08)

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Solution for .12=w*(.19)+(1-w)*(.08) equation: 


Simplifying
0.12 = w(0.19) + (1 + -1w)(0.08)

Reorder the terms for easier multiplication:
0.12 = 0.19w + (1 + -1w)(0.08)

Reorder the terms for easier multiplication:
0.12 = 0.19w + 0.08(1 + -1w)
0.12 = 0.19w + (1 * 0.08 + -1w * 0.08)
0.12 = 0.19w + (0.08 + -0.08w)

Reorder the terms:
0.12 = 0.08 + 0.19w + -0.08w

Combine like terms: 0.19w + -0.08w = 0.11w
0.12 = 0.08 + 0.11w

Solving
0.12 = 0.08 + 0.11w

Solving for variable 'w'.

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

Add '-0.11w' to each side of the equation.
0.12 + -0.11w = 0.08 + 0.11w + -0.11w

Combine like terms: 0.11w + -0.11w = 0.00
0.12 + -0.11w = 0.08 + 0.00
0.12 + -0.11w = 0.08

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.11w = 0.08 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.11w = 0.08 + -0.12
-0.11w = 0.08 + -0.12

Combine like terms: 0.08 + -0.12 = -0.04
-0.11w = -0.04

Divide each side by '-0.11'.
w = 0.3636363636

Simplifying
w = 0.3636363636

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