r-2+3r=6+5r

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Solution for r-2+3r=6+5r equation:


Simplifying
r + -2 + 3r = 6 + 5r

Reorder the terms:
-2 + r + 3r = 6 + 5r

Combine like terms: r + 3r = 4r
-2 + 4r = 6 + 5r

Solving
-2 + 4r = 6 + 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 + 4r + -5r = 6 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-2 + -1r = 6 + 5r + -5r

Combine like terms: 5r + -5r = 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 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

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