5r-3=13r+6

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Solution for 5r-3=13r+6 equation:


Simplifying
5r + -3 = 13r + 6

Reorder the terms:
-3 + 5r = 13r + 6

Reorder the terms:
-3 + 5r = 6 + 13r

Solving
-3 + 5r = 6 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
-3 + 5r + -13r = 6 + 13r + -13r

Combine like terms: 5r + -13r = -8r
-3 + -8r = 6 + 13r + -13r

Combine like terms: 13r + -13r = 0
-3 + -8r = 6 + 0
-3 + -8r = 6

Add '3' to each side of the equation.
-3 + 3 + -8r = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -8r = 6 + 3
-8r = 6 + 3

Combine like terms: 6 + 3 = 9
-8r = 9

Divide each side by '-8'.
r = -1.125

Simplifying
r = -1.125

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