0.12=w(0.1088)+(1-w)(0.1410)

Solution for 0.12=w(0.1088)+(1-w)(0.1410) equation:

Simplifying
0.12 = w(0.1088) + (1 + -1w)(0.1410)

Reorder the terms for easier multiplication:
0.12 = 0.1088w + (1 + -1w)(0.1410)

Reorder the terms for easier multiplication:
0.12 = 0.1088w + 0.1410(1 + -1w)
0.12 = 0.1088w + (1 * 0.1410 + -1w * 0.1410)
0.12 = 0.1088w + (0.141 + -0.141w)

Reorder the terms:
0.12 = 0.141 + 0.1088w + -0.141w

Combine like terms: 0.1088w + -0.141w = -0.0322w
0.12 = 0.141 + -0.0322w

Solving
0.12 = 0.141 + -0.0322w

Solving for variable 'w'.

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

Add '0.0322w' to each side of the equation.
0.12 + 0.0322w = 0.141 + -0.0322w + 0.0322w

Combine like terms: -0.0322w + 0.0322w = 0.0000
0.12 + 0.0322w = 0.141 + 0.0000
0.12 + 0.0322w = 0.141

Add '-0.12' to each side of the equation.
0.12 + -0.12 + 0.0322w = 0.141 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + 0.0322w = 0.141 + -0.12
0.0322w = 0.141 + -0.12

Combine like terms: 0.141 + -0.12 = 0.021
0.0322w = 0.021

Divide each side by '0.0322'.
w = 0.652173913

Simplifying
w = 0.652173913