3r+5=5r-27

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Solution for 3r+5=5r-27 equation:


Simplifying
3r + 5 = 5r + -27

Reorder the terms:
5 + 3r = 5r + -27

Reorder the terms:
5 + 3r = -27 + 5r

Solving
5 + 3r = -27 + 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.
5 + 3r + -5r = -27 + 5r + -5r

Combine like terms: 3r + -5r = -2r
5 + -2r = -27 + 5r + -5r

Combine like terms: 5r + -5r = 0
5 + -2r = -27 + 0
5 + -2r = -27

Add '-5' to each side of the equation.
5 + -5 + -2r = -27 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = -27 + -5
-2r = -27 + -5

Combine like terms: -27 + -5 = -32
-2r = -32

Divide each side by '-2'.
r = 16

Simplifying
r = 16

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