(5r-7)+r=71

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Solution for (5r-7)+r=71 equation:


Simplifying
(5r + -7) + r = 71

Reorder the terms:
(-7 + 5r) + r = 71

Remove parenthesis around (-7 + 5r)
-7 + 5r + r = 71

Combine like terms: 5r + r = 6r
-7 + 6r = 71

Solving
-7 + 6r = 71

Solving for variable 'r'.

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

Add '7' to each side of the equation.
-7 + 7 + 6r = 71 + 7

Combine like terms: -7 + 7 = 0
0 + 6r = 71 + 7
6r = 71 + 7

Combine like terms: 71 + 7 = 78
6r = 78

Divide each side by '6'.
r = 13

Simplifying
r = 13

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