2r+6.1=6.2r-31.28

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Solution for 2r+6.1=6.2r-31.28 equation: 


Simplifying
2r + 6.1 = 6.2r + -31.28

Reorder the terms:
6.1 + 2r = 6.2r + -31.28

Reorder the terms:
6.1 + 2r = -31.28 + 6.2r

Solving
6.1 + 2r = -31.28 + 6.2r

Solving for variable 'r'.

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

Add '-6.2r' to each side of the equation.
6.1 + 2r + -6.2r = -31.28 + 6.2r + -6.2r

Combine like terms: 2r + -6.2r = -4.2r
6.1 + -4.2r = -31.28 + 6.2r + -6.2r

Combine like terms: 6.2r + -6.2r = 0.0
6.1 + -4.2r = -31.28 + 0.0
6.1 + -4.2r = -31.28

Add '-6.1' to each side of the equation.
6.1 + -6.1 + -4.2r = -31.28 + -6.1

Combine like terms: 6.1 + -6.1 = 0.0
0.0 + -4.2r = -31.28 + -6.1
-4.2r = -31.28 + -6.1

Combine like terms: -31.28 + -6.1 = -37.38
-4.2r = -37.38

Divide each side by '-4.2'.
r = 8.9

Simplifying
r = 8.9

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