7r-5r+3=8r+3-r

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Solution for 7r-5r+3=8r+3-r equation:


Simplifying
7r + -5r + 3 = 8r + 3 + -1r

Reorder the terms:
3 + 7r + -5r = 8r + 3 + -1r

Combine like terms: 7r + -5r = 2r
3 + 2r = 8r + 3 + -1r

Reorder the terms:
3 + 2r = 3 + 8r + -1r

Combine like terms: 8r + -1r = 7r
3 + 2r = 3 + 7r

Add '-3' to each side of the equation.
3 + -3 + 2r = 3 + -3 + 7r

Combine like terms: 3 + -3 = 0
0 + 2r = 3 + -3 + 7r
2r = 3 + -3 + 7r

Combine like terms: 3 + -3 = 0
2r = 0 + 7r
2r = 7r

Solving
2r = 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
2r + -7r = 7r + -7r

Combine like terms: 2r + -7r = -5r
-5r = 7r + -7r

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

Divide each side by '-5'.
r = 0

Simplifying
r = 0

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