5r-7.8=6.7r-22.25

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Solution for 5r-7.8=6.7r-22.25 equation: 


Simplifying
5r + -7.8 = 6.7r + -22.25

Reorder the terms:
-7.8 + 5r = 6.7r + -22.25

Reorder the terms:
-7.8 + 5r = -22.25 + 6.7r

Solving
-7.8 + 5r = -22.25 + 6.7r

Solving for variable 'r'.

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

Add '-6.7r' to each side of the equation.
-7.8 + 5r + -6.7r = -22.25 + 6.7r + -6.7r

Combine like terms: 5r + -6.7r = -1.7r
-7.8 + -1.7r = -22.25 + 6.7r + -6.7r

Combine like terms: 6.7r + -6.7r = 0.0
-7.8 + -1.7r = -22.25 + 0.0
-7.8 + -1.7r = -22.25

Add '7.8' to each side of the equation.
-7.8 + 7.8 + -1.7r = -22.25 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + -1.7r = -22.25 + 7.8
-1.7r = -22.25 + 7.8

Combine like terms: -22.25 + 7.8 = -14.45
-1.7r = -14.45

Divide each side by '-1.7'.
r = 8.5

Simplifying
r = 8.5

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