10r-100=7r-9

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Solution for 10r-100=7r-9 equation:


Simplifying
10r + -100 = 7r + -9

Reorder the terms:
-100 + 10r = 7r + -9

Reorder the terms:
-100 + 10r = -9 + 7r

Solving
-100 + 10r = -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.
-100 + 10r + -7r = -9 + 7r + -7r

Combine like terms: 10r + -7r = 3r
-100 + 3r = -9 + 7r + -7r

Combine like terms: 7r + -7r = 0
-100 + 3r = -9 + 0
-100 + 3r = -9

Add '100' to each side of the equation.
-100 + 100 + 3r = -9 + 100

Combine like terms: -100 + 100 = 0
0 + 3r = -9 + 100
3r = -9 + 100

Combine like terms: -9 + 100 = 91
3r = 91

Divide each side by '3'.
r = 30.33333333

Simplifying
r = 30.33333333

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