3r-6=2r-2

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Solution for 3r-6=2r-2 equation:


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

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

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

Solving
-6 + 3r = -2 + 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.
-6 + 3r + -2r = -2 + 2r + -2r

Combine like terms: 3r + -2r = 1r
-6 + 1r = -2 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + 1r = -2 + 0
-6 + 1r = -2

Add '6' to each side of the equation.
-6 + 6 + 1r = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 1r = -2 + 6
1r = -2 + 6

Combine like terms: -2 + 6 = 4
1r = 4

Divide each side by '1'.
r = 4

Simplifying
r = 4

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