6r+9=9r-27

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Solution for 6r+9=9r-27 equation:


Simplifying
6r + 9 = 9r + -27

Reorder the terms:
9 + 6r = 9r + -27

Reorder the terms:
9 + 6r = -27 + 9r

Solving
9 + 6r = -27 + 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.
9 + 6r + -9r = -27 + 9r + -9r

Combine like terms: 6r + -9r = -3r
9 + -3r = -27 + 9r + -9r

Combine like terms: 9r + -9r = 0
9 + -3r = -27 + 0
9 + -3r = -27

Add '-9' to each side of the equation.
9 + -9 + -3r = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -3r = -27 + -9
-3r = -27 + -9

Combine like terms: -27 + -9 = -36
-3r = -36

Divide each side by '-3'.
r = 12

Simplifying
r = 12

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