1.3(8-b)+3.7b=-5.3

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Solution for 1.3(8-b)+3.7b=-5.3 equation: 


Simplifying
1.3(8 + -1b) + 3.7b = -5.3
(8 * 1.3 + -1b * 1.3) + 3.7b = -5.3
(10.4 + -1.3b) + 3.7b = -5.3

Combine like terms: -1.3b + 3.7b = 2.4b
10.4 + 2.4b = -5.3

Solving
10.4 + 2.4b = -5.3

Solving for variable 'b'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 2.4b = -5.3 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 2.4b = -5.3 + -10.4
2.4b = -5.3 + -10.4

Combine like terms: -5.3 + -10.4 = -15.7
2.4b = -15.7

Divide each side by '2.4'.
b = -6.541666667

Simplifying
b = -6.541666667

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