7+3r-4=9r+18-3r

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Solution for 7+3r-4=9r+18-3r equation: 


Simplifying
7 + 3r + -4 = 9r + 18 + -3r

Reorder the terms:
7 + -4 + 3r = 9r + 18 + -3r

Combine like terms: 7 + -4 = 3
3 + 3r = 9r + 18 + -3r

Reorder the terms:
3 + 3r = 18 + 9r + -3r

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

Solving
3 + 3r = 18 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
3 + 3r + -6r = 18 + 6r + -6r

Combine like terms: 3r + -6r = -3r
3 + -3r = 18 + 6r + -6r

Combine like terms: 6r + -6r = 0
3 + -3r = 18 + 0
3 + -3r = 18

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

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

Combine like terms: 18 + -3 = 15
-3r = 15

Divide each side by '-3'.
r = -5

Simplifying
r = -5

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