-0.29=(x*-a)+((1-x)*b)

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Solution for -0.29=(x*-a)+((1-x)*b) equation:


Simplifying
-0.29 = (x * -1a) + ((1 + -1x) * b)

Reorder the terms for easier multiplication:
-0.29 = (-1x * a) + ((1 + -1x) * b)

Multiply x * a
-0.29 = (-1ax) + ((1 + -1x) * b)

Reorder the terms for easier multiplication:
-0.29 = (-1ax) + (b(1 + -1x))
-0.29 = (-1ax) + ((1 * b + -1x * b))
-0.29 = (-1ax) + ((1b + -1bx))
-0.29 = (-1ax) + (1b + -1bx)

Remove parenthesis around (1b + -1bx)
-0.29 = (-1ax) + 1b + -1bx

Solving
-0.29 = (-1ax) + 1b + -1bx

Solving for variable 'a'.

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

Add '(ax)' to each side of the equation.
-0.29 + (ax) = (-1ax) + 1b + (ax) + -1bx
-0.29 + ax = (-1ax) + 1b + (ax) + -1bx
-0.29 + ax = (-1ax) + 1b + ax + -1bx

Reorder the terms:
-0.29 + ax = (-1ax) + ax + 1b + -1bx

Combine like terms: (-1ax) + ax = 0
-0.29 + ax = 0 + 1b + -1bx
-0.29 + ax = 1b + -1bx

Add '0.29' to each side of the equation.
-0.29 + 0.29 + ax = 1b + 0.29 + -1bx

Combine like terms: -0.29 + 0.29 = 0.00
0.00 + ax = 1b + 0.29 + -1bx
ax = 1b + 0.29 + -1bx

Reorder the terms:
ax = 0.29 + 1b + -1bx

Divide each side by 'x'.
a = 0.29x-1 + bx-1 + -1b

Simplifying
a = 0.29x-1 + bx-1 + -1b

Reorder the terms:
a = -1b + bx-1 + 0.29x-1

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