3r+6=9r-20

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Solution for 3r+6=9r-20 equation:


Simplifying
3r + 6 = 9r + -20

Reorder the terms:
6 + 3r = 9r + -20

Reorder the terms:
6 + 3r = -20 + 9r

Solving
6 + 3r = -20 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 3r + -9r = -20 + 9r + -9r

Combine like terms: 3r + -9r = -6r
6 + -6r = -20 + 9r + -9r

Combine like terms: 9r + -9r = 0
6 + -6r = -20 + 0
6 + -6r = -20

Add '-6' to each side of the equation.
6 + -6 + -6r = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = -20 + -6
-6r = -20 + -6

Combine like terms: -20 + -6 = -26
-6r = -26

Divide each side by '-6'.
r = 4.333333333

Simplifying
r = 4.333333333

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