2r-2=3r-6

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


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

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

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

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

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-2 + 2r + -3r = -6 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
-2 + -1r = -6 + 0
-2 + -1r = -6

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

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

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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