3r-12+r=13-r+3

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Solution for 3r-12+r=13-r+3 equation:


Simplifying
3r + -12 + r = 13 + -1r + 3

Reorder the terms:
-12 + 3r + r = 13 + -1r + 3

Combine like terms: 3r + r = 4r
-12 + 4r = 13 + -1r + 3

Reorder the terms:
-12 + 4r = 13 + 3 + -1r

Combine like terms: 13 + 3 = 16
-12 + 4r = 16 + -1r

Solving
-12 + 4r = 16 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-12 + 4r + r = 16 + -1r + r

Combine like terms: 4r + r = 5r
-12 + 5r = 16 + -1r + r

Combine like terms: -1r + r = 0
-12 + 5r = 16 + 0
-12 + 5r = 16

Add '12' to each side of the equation.
-12 + 12 + 5r = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 5r = 16 + 12
5r = 16 + 12

Combine like terms: 16 + 12 = 28
5r = 28

Divide each side by '5'.
r = 5.6

Simplifying
r = 5.6

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