11r+1=5r+19

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Solution for 11r+1=5r+19 equation:


Simplifying
11r + 1 = 5r + 19

Reorder the terms:
1 + 11r = 5r + 19

Reorder the terms:
1 + 11r = 19 + 5r

Solving
1 + 11r = 19 + 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 + 11r + -5r = 19 + 5r + -5r

Combine like terms: 11r + -5r = 6r
1 + 6r = 19 + 5r + -5r

Combine like terms: 5r + -5r = 0
1 + 6r = 19 + 0
1 + 6r = 19

Add '-1' to each side of the equation.
1 + -1 + 6r = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 6r = 19 + -1
6r = 19 + -1

Combine like terms: 19 + -1 = 18
6r = 18

Divide each side by '6'.
r = 3

Simplifying
r = 3

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