7+3r-1=9r+22-4r

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Solution for 7+3r-1=9r+22-4r equation:


Simplifying
7 + 3r + -1 = 9r + 22 + -4r

Reorder the terms:
7 + -1 + 3r = 9r + 22 + -4r

Combine like terms: 7 + -1 = 6
6 + 3r = 9r + 22 + -4r

Reorder the terms:
6 + 3r = 22 + 9r + -4r

Combine like terms: 9r + -4r = 5r
6 + 3r = 22 + 5r

Solving
6 + 3r = 22 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
6 + 3r + -5r = 22 + 5r + -5r

Combine like terms: 3r + -5r = -2r
6 + -2r = 22 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -2r = 22 + 0
6 + -2r = 22

Add '-6' to each side of the equation.
6 + -6 + -2r = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 22 + -6
-2r = 22 + -6

Combine like terms: 22 + -6 = 16
-2r = 16

Divide each side by '-2'.
r = -8

Simplifying
r = -8

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