5r-9=14r+15

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Solution for 5r-9=14r+15 equation:


Simplifying
5r + -9 = 14r + 15

Reorder the terms:
-9 + 5r = 14r + 15

Reorder the terms:
-9 + 5r = 15 + 14r

Solving
-9 + 5r = 15 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-9 + 5r + -14r = 15 + 14r + -14r

Combine like terms: 5r + -14r = -9r
-9 + -9r = 15 + 14r + -14r

Combine like terms: 14r + -14r = 0
-9 + -9r = 15 + 0
-9 + -9r = 15

Add '9' to each side of the equation.
-9 + 9 + -9r = 15 + 9

Combine like terms: -9 + 9 = 0
0 + -9r = 15 + 9
-9r = 15 + 9

Combine like terms: 15 + 9 = 24
-9r = 24

Divide each side by '-9'.
r = -2.666666667

Simplifying
r = -2.666666667

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