7.8r+8.35=6.2r-13.25

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Solution for 7.8r+8.35=6.2r-13.25 equation: 


Simplifying
7.8r + 8.35 = 6.2r + -13.25

Reorder the terms:
8.35 + 7.8r = 6.2r + -13.25

Reorder the terms:
8.35 + 7.8r = -13.25 + 6.2r

Solving
8.35 + 7.8r = -13.25 + 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.
8.35 + 7.8r + -6.2r = -13.25 + 6.2r + -6.2r

Combine like terms: 7.8r + -6.2r = 1.6r
8.35 + 1.6r = -13.25 + 6.2r + -6.2r

Combine like terms: 6.2r + -6.2r = 0.0
8.35 + 1.6r = -13.25 + 0.0
8.35 + 1.6r = -13.25

Add '-8.35' to each side of the equation.
8.35 + -8.35 + 1.6r = -13.25 + -8.35

Combine like terms: 8.35 + -8.35 = 0.00
0.00 + 1.6r = -13.25 + -8.35
1.6r = -13.25 + -8.35

Combine like terms: -13.25 + -8.35 = -21.6
1.6r = -21.6

Divide each side by '1.6'.
r = -13.5

Simplifying
r = -13.5

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