2r+1=5r-11

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Solution for 2r+1=5r-11 equation:


Simplifying
2r + 1 = 5r + -11

Reorder the terms:
1 + 2r = 5r + -11

Reorder the terms:
1 + 2r = -11 + 5r

Solving
1 + 2r = -11 + 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.
1 + 2r + -5r = -11 + 5r + -5r

Combine like terms: 2r + -5r = -3r
1 + -3r = -11 + 5r + -5r

Combine like terms: 5r + -5r = 0
1 + -3r = -11 + 0
1 + -3r = -11

Add '-1' to each side of the equation.
1 + -1 + -3r = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -3r = -11 + -1
-3r = -11 + -1

Combine like terms: -11 + -1 = -12
-3r = -12

Divide each side by '-3'.
r = 4

Simplifying
r = 4

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