9-7r-6+3r=r-2

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Solution for 9-7r-6+3r=r-2 equation: 


Simplifying
9 + -7r + -6 + 3r = r + -2

Reorder the terms:
9 + -6 + -7r + 3r = r + -2

Combine like terms: 9 + -6 = 3
3 + -7r + 3r = r + -2

Combine like terms: -7r + 3r = -4r
3 + -4r = r + -2

Reorder the terms:
3 + -4r = -2 + r

Solving
3 + -4r = -2 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
3 + -4r + -1r = -2 + r + -1r

Combine like terms: -4r + -1r = -5r
3 + -5r = -2 + r + -1r

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

Add '-3' to each side of the equation.
3 + -3 + -5r = -2 + -3

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

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

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

Simplifying
r = 1

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