8.2r-6=7.4r+8

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Solution for 8.2r-6=7.4r+8 equation:


Simplifying
8.2r + -6 = 7.4r + 8

Reorder the terms:
-6 + 8.2r = 7.4r + 8

Reorder the terms:
-6 + 8.2r = 8 + 7.4r

Solving
-6 + 8.2r = 8 + 7.4r

Solving for variable 'r'.

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

Add '-7.4r' to each side of the equation.
-6 + 8.2r + -7.4r = 8 + 7.4r + -7.4r

Combine like terms: 8.2r + -7.4r = 0.8r
-6 + 0.8r = 8 + 7.4r + -7.4r

Combine like terms: 7.4r + -7.4r = 0.0
-6 + 0.8r = 8 + 0.0
-6 + 0.8r = 8

Add '6' to each side of the equation.
-6 + 6 + 0.8r = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 0.8r = 8 + 6
0.8r = 8 + 6

Combine like terms: 8 + 6 = 14
0.8r = 14

Divide each side by '0.8'.
r = 17.5

Simplifying
r = 17.5

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