3.9(1-5.45r)+3.5=113.675

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Solution for 3.9(1-5.45r)+3.5=113.675 equation: 


Simplifying
3.9(1 + -5.45r) + 3.5 = 113.675
(1 * 3.9 + -5.45r * 3.9) + 3.5 = 113.675
(3.9 + -21.255r) + 3.5 = 113.675

Reorder the terms:
3.9 + 3.5 + -21.255r = 113.675

Combine like terms: 3.9 + 3.5 = 7.4
7.4 + -21.255r = 113.675

Solving
7.4 + -21.255r = 113.675

Solving for variable 'r'.

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

Add '-7.4' to each side of the equation.
7.4 + -7.4 + -21.255r = 113.675 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + -21.255r = 113.675 + -7.4
-21.255r = 113.675 + -7.4

Combine like terms: 113.675 + -7.4 = 106.275
-21.255r = 106.275

Divide each side by '-21.255'.
r = -5

Simplifying
r = -5

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