13r+1=3r-19

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Solution for 13r+1=3r-19 equation:


Simplifying
13r + 1 = 3r + -19

Reorder the terms:
1 + 13r = 3r + -19

Reorder the terms:
1 + 13r = -19 + 3r

Solving
1 + 13r = -19 + 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.
1 + 13r + -3r = -19 + 3r + -3r

Combine like terms: 13r + -3r = 10r
1 + 10r = -19 + 3r + -3r

Combine like terms: 3r + -3r = 0
1 + 10r = -19 + 0
1 + 10r = -19

Add '-1' to each side of the equation.
1 + -1 + 10r = -19 + -1

Combine like terms: 1 + -1 = 0
0 + 10r = -19 + -1
10r = -19 + -1

Combine like terms: -19 + -1 = -20
10r = -20

Divide each side by '10'.
r = -2

Simplifying
r = -2

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