1.3(8-b)+3.7b=-5.2b

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Solution for 1.3(8-b)+3.7b=-5.2b equation: 


Simplifying
1.3(8 + -1b) + 3.7b = -5.2b
(8 * 1.3 + -1b * 1.3) + 3.7b = -5.2b
(10.4 + -1.3b) + 3.7b = -5.2b

Combine like terms: -1.3b + 3.7b = 2.4b
10.4 + 2.4b = -5.2b

Solving
10.4 + 2.4b = -5.2b

Solving for variable 'b'.

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

Add '5.2b' to each side of the equation.
10.4 + 2.4b + 5.2b = -5.2b + 5.2b

Combine like terms: 2.4b + 5.2b = 7.6b
10.4 + 7.6b = -5.2b + 5.2b

Combine like terms: -5.2b + 5.2b = 0.0
10.4 + 7.6b = 0.0

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 7.6b = 0.0 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 7.6b = 0.0 + -10.4
7.6b = 0.0 + -10.4

Combine like terms: 0.0 + -10.4 = -10.4
7.6b = -10.4

Divide each side by '7.6'.
b = -1.368421053

Simplifying
b = -1.368421053

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