6.2(19.8-r)=37.7r-49.2

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Solution for 6.2(19.8-r)=37.7r-49.2 equation:


Simplifying
6.2(19.8 + -1r) = 37.7r + -49.2
(19.8 * 6.2 + -1r * 6.2) = 37.7r + -49.2
(122.76 + -6.2r) = 37.7r + -49.2

Reorder the terms:
122.76 + -6.2r = -49.2 + 37.7r

Solving
122.76 + -6.2r = -49.2 + 37.7r

Solving for variable 'r'.

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

Add '-37.7r' to each side of the equation.
122.76 + -6.2r + -37.7r = -49.2 + 37.7r + -37.7r

Combine like terms: -6.2r + -37.7r = -43.9r
122.76 + -43.9r = -49.2 + 37.7r + -37.7r

Combine like terms: 37.7r + -37.7r = 0.0
122.76 + -43.9r = -49.2 + 0.0
122.76 + -43.9r = -49.2

Add '-122.76' to each side of the equation.
122.76 + -122.76 + -43.9r = -49.2 + -122.76

Combine like terms: 122.76 + -122.76 = 0.00
0.00 + -43.9r = -49.2 + -122.76
-43.9r = -49.2 + -122.76

Combine like terms: -49.2 + -122.76 = -171.96
-43.9r = -171.96

Divide each side by '-43.9'.
r = 3.917084282

Simplifying
r = 3.917084282

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