6r-12=2r+13

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Solution for 6r-12=2r+13 equation:


Simplifying
6r + -12 = 2r + 13

Reorder the terms:
-12 + 6r = 2r + 13

Reorder the terms:
-12 + 6r = 13 + 2r

Solving
-12 + 6r = 13 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-12 + 6r + -2r = 13 + 2r + -2r

Combine like terms: 6r + -2r = 4r
-12 + 4r = 13 + 2r + -2r

Combine like terms: 2r + -2r = 0
-12 + 4r = 13 + 0
-12 + 4r = 13

Add '12' to each side of the equation.
-12 + 12 + 4r = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 4r = 13 + 12
4r = 13 + 12

Combine like terms: 13 + 12 = 25
4r = 25

Divide each side by '4'.
r = 6.25

Simplifying
r = 6.25

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