7+2r-2=8r+21-4r

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Solution for 7+2r-2=8r+21-4r equation:


Simplifying
7 + 2r + -2 = 8r + 21 + -4r

Reorder the terms:
7 + -2 + 2r = 8r + 21 + -4r

Combine like terms: 7 + -2 = 5
5 + 2r = 8r + 21 + -4r

Reorder the terms:
5 + 2r = 21 + 8r + -4r

Combine like terms: 8r + -4r = 4r
5 + 2r = 21 + 4r

Solving
5 + 2r = 21 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
5 + 2r + -4r = 21 + 4r + -4r

Combine like terms: 2r + -4r = -2r
5 + -2r = 21 + 4r + -4r

Combine like terms: 4r + -4r = 0
5 + -2r = 21 + 0
5 + -2r = 21

Add '-5' to each side of the equation.
5 + -5 + -2r = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = 21 + -5
-2r = 21 + -5

Combine like terms: 21 + -5 = 16
-2r = 16

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

Simplifying
r = -8

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