3r-13=r-3

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Solution for 3r-13=r-3 equation:


Simplifying
3r + -13 = r + -3

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

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

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

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

Combine like terms: r + -1r = 0
-13 + 2r = -3 + 0
-13 + 2r = -3

Add '13' to each side of the equation.
-13 + 13 + 2r = -3 + 13

Combine like terms: -13 + 13 = 0
0 + 2r = -3 + 13
2r = -3 + 13

Combine like terms: -3 + 13 = 10
2r = 10

Divide each side by '2'.
r = 5

Simplifying
r = 5

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