6r+6=20r+13

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Solution for 6r+6=20r+13 equation:


Simplifying
6r + 6 = 20r + 13

Reorder the terms:
6 + 6r = 20r + 13

Reorder the terms:
6 + 6r = 13 + 20r

Solving
6 + 6r = 13 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
6 + 6r + -20r = 13 + 20r + -20r

Combine like terms: 6r + -20r = -14r
6 + -14r = 13 + 20r + -20r

Combine like terms: 20r + -20r = 0
6 + -14r = 13 + 0
6 + -14r = 13

Add '-6' to each side of the equation.
6 + -6 + -14r = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -14r = 13 + -6
-14r = 13 + -6

Combine like terms: 13 + -6 = 7
-14r = 7

Divide each side by '-14'.
r = -0.5

Simplifying
r = -0.5

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