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

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


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

Solving
10.4 + -1.3b + 3.7n = -5.2

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 + -1.3b + -10.4 + 3.7n = -5.2 + -10.4

Reorder the terms:
10.4 + -10.4 + -1.3b + 3.7n = -5.2 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -1.3b + 3.7n = -5.2 + -10.4
-1.3b + 3.7n = -5.2 + -10.4

Combine like terms: -5.2 + -10.4 = -15.6
-1.3b + 3.7n = -15.6

Add '-3.7n' to each side of the equation.
-1.3b + 3.7n + -3.7n = -15.6 + -3.7n

Combine like terms: 3.7n + -3.7n = 0.0
-1.3b + 0.0 = -15.6 + -3.7n
-1.3b = -15.6 + -3.7n

Divide each side by '-1.3'.
b = 12 + 2.846153846n

Simplifying
b = 12 + 2.846153846n

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