5r-9=8r-19

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Solution for 5r-9=8r-19 equation:


Simplifying
5r + -9 = 8r + -19

Reorder the terms:
-9 + 5r = 8r + -19

Reorder the terms:
-9 + 5r = -19 + 8r

Solving
-9 + 5r = -19 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-9 + 5r + -8r = -19 + 8r + -8r

Combine like terms: 5r + -8r = -3r
-9 + -3r = -19 + 8r + -8r

Combine like terms: 8r + -8r = 0
-9 + -3r = -19 + 0
-9 + -3r = -19

Add '9' to each side of the equation.
-9 + 9 + -3r = -19 + 9

Combine like terms: -9 + 9 = 0
0 + -3r = -19 + 9
-3r = -19 + 9

Combine like terms: -19 + 9 = -10
-3r = -10

Divide each side by '-3'.
r = 3.333333333

Simplifying
r = 3.333333333

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