13r+93=41r-75

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Solution for 13r+93=41r-75 equation:


Simplifying
13r + 93 = 41r + -75

Reorder the terms:
93 + 13r = 41r + -75

Reorder the terms:
93 + 13r = -75 + 41r

Solving
93 + 13r = -75 + 41r

Solving for variable 'r'.

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

Add '-41r' to each side of the equation.
93 + 13r + -41r = -75 + 41r + -41r

Combine like terms: 13r + -41r = -28r
93 + -28r = -75 + 41r + -41r

Combine like terms: 41r + -41r = 0
93 + -28r = -75 + 0
93 + -28r = -75

Add '-93' to each side of the equation.
93 + -93 + -28r = -75 + -93

Combine like terms: 93 + -93 = 0
0 + -28r = -75 + -93
-28r = -75 + -93

Combine like terms: -75 + -93 = -168
-28r = -168

Divide each side by '-28'.
r = 6

Simplifying
r = 6

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