3r+1=r+13

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


Simplifying
3r + 1 = r + 13

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

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

Solving
1 + 3r = 13 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
1 + 3r + -1r = 13 + r + -1r

Combine like terms: 3r + -1r = 2r
1 + 2r = 13 + r + -1r

Combine like terms: r + -1r = 0
1 + 2r = 13 + 0
1 + 2r = 13

Add '-1' to each side of the equation.
1 + -1 + 2r = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 2r = 13 + -1
2r = 13 + -1

Combine like terms: 13 + -1 = 12
2r = 12

Divide each side by '2'.
r = 6

Simplifying
r = 6

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