7r-3=2r+9

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Solution for 7r-3=2r+9 equation:


Simplifying
7r + -3 = 2r + 9

Reorder the terms:
-3 + 7r = 2r + 9

Reorder the terms:
-3 + 7r = 9 + 2r

Solving
-3 + 7r = 9 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-3 + 7r + -2r = 9 + 2r + -2r

Combine like terms: 7r + -2r = 5r
-3 + 5r = 9 + 2r + -2r

Combine like terms: 2r + -2r = 0
-3 + 5r = 9 + 0
-3 + 5r = 9

Add '3' to each side of the equation.
-3 + 3 + 5r = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 5r = 9 + 3
5r = 9 + 3

Combine like terms: 9 + 3 = 12
5r = 12

Divide each side by '5'.
r = 2.4

Simplifying
r = 2.4

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