0.9b-5.2(4.6+5.2b)=-1.5b+21.028

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Solution for 0.9b-5.2(4.6+5.2b)=-1.5b+21.028 equation:


Simplifying
0.9b + -5.2(4.6 + 5.2b) = -1.5b + 21.028
0.9b + (4.6 * -5.2 + 5.2b * -5.2) = -1.5b + 21.028
0.9b + (-23.92 + -27.04b) = -1.5b + 21.028

Reorder the terms:
-23.92 + 0.9b + -27.04b = -1.5b + 21.028

Combine like terms: 0.9b + -27.04b = -26.14b
-23.92 + -26.14b = -1.5b + 21.028

Reorder the terms:
-23.92 + -26.14b = 21.028 + -1.5b

Solving
-23.92 + -26.14b = 21.028 + -1.5b

Solving for variable 'b'.

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

Add '1.5b' to each side of the equation.
-23.92 + -26.14b + 1.5b = 21.028 + -1.5b + 1.5b

Combine like terms: -26.14b + 1.5b = -24.64b
-23.92 + -24.64b = 21.028 + -1.5b + 1.5b

Combine like terms: -1.5b + 1.5b = 0.0
-23.92 + -24.64b = 21.028 + 0.0
-23.92 + -24.64b = 21.028

Add '23.92' to each side of the equation.
-23.92 + 23.92 + -24.64b = 21.028 + 23.92

Combine like terms: -23.92 + 23.92 = 0.00
0.00 + -24.64b = 21.028 + 23.92
-24.64b = 21.028 + 23.92

Combine like terms: 21.028 + 23.92 = 44.948
-24.64b = 44.948

Divide each side by '-24.64'.
b = -1.824188312

Simplifying
b = -1.824188312

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