3+2r-1=9r+7-2r

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Solution for 3+2r-1=9r+7-2r equation: 


Simplifying
3 + 2r + -1 = 9r + 7 + -2r

Reorder the terms:
3 + -1 + 2r = 9r + 7 + -2r

Combine like terms: 3 + -1 = 2
2 + 2r = 9r + 7 + -2r

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

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

Solving
2 + 2r = 7 + 7r

Solving for variable 'r'.

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

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

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

Combine like terms: 7r + -7r = 0
2 + -5r = 7 + 0
2 + -5r = 7

Add '-2' to each side of the equation.
2 + -2 + -5r = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -5r = 7 + -2
-5r = 7 + -2

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

Divide each side by '-5'.
r = -1

Simplifying
r = -1

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