(0.51*(1021-b))=(1.4*b)

Solution for (0.51*(1021-b))=(1.4*b) equation:

Simplifying
(0.51(1021 + -1b)) = (1.4b)
((1021 * 0.51 + -1b * 0.51)) = (1.4b)
((520.71 + -0.51b)) = (1.4b)
(520.71 + -0.51b) = (1.4b)

Remove parenthesis around (520.71 + -0.51b)
520.71 + -0.51b = (1.4b)

Solving
520.71 + -0.51b = (1.4b)

Solving for variable 'b'.

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

Add '(-1.4b)' to each side of the equation.
520.71 + -0.51b + (-1.4b) = (1.4b) + (-1.4b)

Combine like terms: -0.51b + (-1.4b) = -1.91b
520.71 + -1.91b = (1.4b) + (-1.4b)

Combine like terms: (1.4b) + (-1.4b) = 0.0
520.71 + -1.91b = 0.0

Add '-520.71' to each side of the equation.
520.71 + -520.71 + -1.91b = 0.0 + -520.71

Combine like terms: 520.71 + -520.71 = 0.00
0.00 + -1.91b = 0.0 + -520.71
-1.91b = 0.0 + -520.71

Combine like terms: 0.0 + -520.71 = -520.71
-1.91b = -520.71

Divide each side by '-1.91'.
b = 272.6230366

Simplifying
b = 272.6230366