3+13r-1=7r+58-2r

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Solution for 3+13r-1=7r+58-2r equation:


Simplifying
3 + 13r + -1 = 7r + 58 + -2r

Reorder the terms:
3 + -1 + 13r = 7r + 58 + -2r

Combine like terms: 3 + -1 = 2
2 + 13r = 7r + 58 + -2r

Reorder the terms:
2 + 13r = 58 + 7r + -2r

Combine like terms: 7r + -2r = 5r
2 + 13r = 58 + 5r

Solving
2 + 13r = 58 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2 + 13r + -5r = 58 + 5r + -5r

Combine like terms: 13r + -5r = 8r
2 + 8r = 58 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + 8r = 58 + 0
2 + 8r = 58

Add '-2' to each side of the equation.
2 + -2 + 8r = 58 + -2

Combine like terms: 2 + -2 = 0
0 + 8r = 58 + -2
8r = 58 + -2

Combine like terms: 58 + -2 = 56
8r = 56

Divide each side by '8'.
r = 7

Simplifying
r = 7

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