9+3r-1=8r+16-3r

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Solution for 9+3r-1=8r+16-3r equation:


Simplifying
9 + 3r + -1 = 8r + 16 + -3r

Reorder the terms:
9 + -1 + 3r = 8r + 16 + -3r

Combine like terms: 9 + -1 = 8
8 + 3r = 8r + 16 + -3r

Reorder the terms:
8 + 3r = 16 + 8r + -3r

Combine like terms: 8r + -3r = 5r
8 + 3r = 16 + 5r

Solving
8 + 3r = 16 + 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.
8 + 3r + -5r = 16 + 5r + -5r

Combine like terms: 3r + -5r = -2r
8 + -2r = 16 + 5r + -5r

Combine like terms: 5r + -5r = 0
8 + -2r = 16 + 0
8 + -2r = 16

Add '-8' to each side of the equation.
8 + -8 + -2r = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -2r = 16 + -8
-2r = 16 + -8

Combine like terms: 16 + -8 = 8
-2r = 8

Divide each side by '-2'.
r = -4

Simplifying
r = -4

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