4+13r-1=9r+75-5r

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Solution for 4+13r-1=9r+75-5r equation:


Simplifying
4 + 13r + -1 = 9r + 75 + -5r

Reorder the terms:
4 + -1 + 13r = 9r + 75 + -5r

Combine like terms: 4 + -1 = 3
3 + 13r = 9r + 75 + -5r

Reorder the terms:
3 + 13r = 75 + 9r + -5r

Combine like terms: 9r + -5r = 4r
3 + 13r = 75 + 4r

Solving
3 + 13r = 75 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
3 + 13r + -4r = 75 + 4r + -4r

Combine like terms: 13r + -4r = 9r
3 + 9r = 75 + 4r + -4r

Combine like terms: 4r + -4r = 0
3 + 9r = 75 + 0
3 + 9r = 75

Add '-3' to each side of the equation.
3 + -3 + 9r = 75 + -3

Combine like terms: 3 + -3 = 0
0 + 9r = 75 + -3
9r = 75 + -3

Combine like terms: 75 + -3 = 72
9r = 72

Divide each side by '9'.
r = 8

Simplifying
r = 8

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