-r+5=-8r-51

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Solution for -r+5=-8r-51 equation:


Simplifying
-1r + 5 = -8r + -51

Reorder the terms:
5 + -1r = -8r + -51

Reorder the terms:
5 + -1r = -51 + -8r

Solving
5 + -1r = -51 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
5 + -1r + 8r = -51 + -8r + 8r

Combine like terms: -1r + 8r = 7r
5 + 7r = -51 + -8r + 8r

Combine like terms: -8r + 8r = 0
5 + 7r = -51 + 0
5 + 7r = -51

Add '-5' to each side of the equation.
5 + -5 + 7r = -51 + -5

Combine like terms: 5 + -5 = 0
0 + 7r = -51 + -5
7r = -51 + -5

Combine like terms: -51 + -5 = -56
7r = -56

Divide each side by '7'.
r = -8

Simplifying
r = -8

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