7+13r-5=9r+13-7r

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Solution for 7+13r-5=9r+13-7r equation:


Simplifying
7 + 13r + -5 = 9r + 13 + -7r

Reorder the terms:
7 + -5 + 13r = 9r + 13 + -7r

Combine like terms: 7 + -5 = 2
2 + 13r = 9r + 13 + -7r

Reorder the terms:
2 + 13r = 13 + 9r + -7r

Combine like terms: 9r + -7r = 2r
2 + 13r = 13 + 2r

Solving
2 + 13r = 13 + 2r

Solving for variable 'r'.

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

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

Combine like terms: 13r + -2r = 11r
2 + 11r = 13 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 11r = 13 + 0
2 + 11r = 13

Add '-2' to each side of the equation.
2 + -2 + 11r = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 11r = 13 + -2
11r = 13 + -2

Combine like terms: 13 + -2 = 11
11r = 11

Divide each side by '11'.
r = 1

Simplifying
r = 1

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