5+10r-1=9r+36-7r

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Solution for 5+10r-1=9r+36-7r equation:


Simplifying
5 + 10r + -1 = 9r + 36 + -7r

Reorder the terms:
5 + -1 + 10r = 9r + 36 + -7r

Combine like terms: 5 + -1 = 4
4 + 10r = 9r + 36 + -7r

Reorder the terms:
4 + 10r = 36 + 9r + -7r

Combine like terms: 9r + -7r = 2r
4 + 10r = 36 + 2r

Solving
4 + 10r = 36 + 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.
4 + 10r + -2r = 36 + 2r + -2r

Combine like terms: 10r + -2r = 8r
4 + 8r = 36 + 2r + -2r

Combine like terms: 2r + -2r = 0
4 + 8r = 36 + 0
4 + 8r = 36

Add '-4' to each side of the equation.
4 + -4 + 8r = 36 + -4

Combine like terms: 4 + -4 = 0
0 + 8r = 36 + -4
8r = 36 + -4

Combine like terms: 36 + -4 = 32
8r = 32

Divide each side by '8'.
r = 4

Simplifying
r = 4

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