5+5r-1=9r+18-6r

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Solution for 5+5r-1=9r+18-6r equation:


Simplifying
5 + 5r + -1 = 9r + 18 + -6r

Reorder the terms:
5 + -1 + 5r = 9r + 18 + -6r

Combine like terms: 5 + -1 = 4
4 + 5r = 9r + 18 + -6r

Reorder the terms:
4 + 5r = 18 + 9r + -6r

Combine like terms: 9r + -6r = 3r
4 + 5r = 18 + 3r

Solving
4 + 5r = 18 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
4 + 5r + -3r = 18 + 3r + -3r

Combine like terms: 5r + -3r = 2r
4 + 2r = 18 + 3r + -3r

Combine like terms: 3r + -3r = 0
4 + 2r = 18 + 0
4 + 2r = 18

Add '-4' to each side of the equation.
4 + -4 + 2r = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 2r = 18 + -4
2r = 18 + -4

Combine like terms: 18 + -4 = 14
2r = 14

Divide each side by '2'.
r = 7

Simplifying
r = 7

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