10r+12=14r+20

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Solution for 10r+12=14r+20 equation: 


Simplifying
10r + 12 = 14r + 20

Reorder the terms:
12 + 10r = 14r + 20

Reorder the terms:
12 + 10r = 20 + 14r

Solving
12 + 10r = 20 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
12 + 10r + -14r = 20 + 14r + -14r

Combine like terms: 10r + -14r = -4r
12 + -4r = 20 + 14r + -14r

Combine like terms: 14r + -14r = 0
12 + -4r = 20 + 0
12 + -4r = 20

Add '-12' to each side of the equation.
12 + -12 + -4r = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -4r = 20 + -12
-4r = 20 + -12

Combine like terms: 20 + -12 = 8
-4r = 8

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

Simplifying
r = -2

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