9r-3=2r+46

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Solution for 9r-3=2r+46 equation:


Simplifying
9r + -3 = 2r + 46

Reorder the terms:
-3 + 9r = 2r + 46

Reorder the terms:
-3 + 9r = 46 + 2r

Solving
-3 + 9r = 46 + 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 + 9r + -2r = 46 + 2r + -2r

Combine like terms: 9r + -2r = 7r
-3 + 7r = 46 + 2r + -2r

Combine like terms: 2r + -2r = 0
-3 + 7r = 46 + 0
-3 + 7r = 46

Add '3' to each side of the equation.
-3 + 3 + 7r = 46 + 3

Combine like terms: -3 + 3 = 0
0 + 7r = 46 + 3
7r = 46 + 3

Combine like terms: 46 + 3 = 49
7r = 49

Divide each side by '7'.
r = 7

Simplifying
r = 7

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