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

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


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

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

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

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

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

Solving
6 + 4r = 22 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
6 + 4r + -6r = 22 + 6r + -6r

Combine like terms: 4r + -6r = -2r
6 + -2r = 22 + 6r + -6r

Combine like terms: 6r + -6r = 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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