7r-3=51+r

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Solution for 7r-3=51+r equation:


Simplifying
7r + -3 = 51 + r

Reorder the terms:
-3 + 7r = 51 + r

Solving
-3 + 7r = 51 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-3 + 7r + -1r = 51 + r + -1r

Combine like terms: 7r + -1r = 6r
-3 + 6r = 51 + r + -1r

Combine like terms: r + -1r = 0
-3 + 6r = 51 + 0
-3 + 6r = 51

Add '3' to each side of the equation.
-3 + 3 + 6r = 51 + 3

Combine like terms: -3 + 3 = 0
0 + 6r = 51 + 3
6r = 51 + 3

Combine like terms: 51 + 3 = 54
6r = 54

Divide each side by '6'.
r = 9

Simplifying
r = 9

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