7+3r-4=9r+7-2r

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Solution for 7+3r-4=9r+7-2r equation: 


Simplifying
7 + 3r + -4 = 9r + 7 + -2r

Reorder the terms:
7 + -4 + 3r = 9r + 7 + -2r

Combine like terms: 7 + -4 = 3
3 + 3r = 9r + 7 + -2r

Reorder the terms:
3 + 3r = 7 + 9r + -2r

Combine like terms: 9r + -2r = 7r
3 + 3r = 7 + 7r

Solving
3 + 3r = 7 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
3 + 3r + -7r = 7 + 7r + -7r

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

Combine like terms: 7r + -7r = 0
3 + -4r = 7 + 0
3 + -4r = 7

Add '-3' to each side of the equation.
3 + -3 + -4r = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = 7 + -3
-4r = 7 + -3

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

Divide each side by '-4'.
r = -1

Simplifying
r = -1

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