23-r=7r-9

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Solution for 23-r=7r-9 equation:


Simplifying
23 + -1r = 7r + -9

Reorder the terms:
23 + -1r = -9 + 7r

Solving
23 + -1r = -9 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
23 + -1r + -7r = -9 + 7r + -7r

Combine like terms: -1r + -7r = -8r
23 + -8r = -9 + 7r + -7r

Combine like terms: 7r + -7r = 0
23 + -8r = -9 + 0
23 + -8r = -9

Add '-23' to each side of the equation.
23 + -23 + -8r = -9 + -23

Combine like terms: 23 + -23 = 0
0 + -8r = -9 + -23
-8r = -9 + -23

Combine like terms: -9 + -23 = -32
-8r = -32

Divide each side by '-8'.
r = 4

Simplifying
r = 4

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