2r-1=r-5+3r

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Solution for 2r-1=r-5+3r equation:


Simplifying
2r + -1 = r + -5 + 3r

Reorder the terms:
-1 + 2r = r + -5 + 3r

Reorder the terms:
-1 + 2r = -5 + r + 3r

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

Solving
-1 + 2r = -5 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-1 + 2r + -4r = -5 + 4r + -4r

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

Combine like terms: 4r + -4r = 0
-1 + -2r = -5 + 0
-1 + -2r = -5

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

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

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

Divide each side by '-2'.
r = 2

Simplifying
r = 2

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