7r-5r+2=5r-1

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Solution for 7r-5r+2=5r-1 equation: 


Simplifying
7r + -5r + 2 = 5r + -1

Reorder the terms:
2 + 7r + -5r = 5r + -1

Combine like terms: 7r + -5r = 2r
2 + 2r = 5r + -1

Reorder the terms:
2 + 2r = -1 + 5r

Solving
2 + 2r = -1 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2 + 2r + -5r = -1 + 5r + -5r

Combine like terms: 2r + -5r = -3r
2 + -3r = -1 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + -3r = -1 + 0
2 + -3r = -1

Add '-2' to each side of the equation.
2 + -2 + -3r = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = -1 + -2
-3r = -1 + -2

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

Divide each side by '-3'.
r = 1

Simplifying
r = 1

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