9+3r-2=7r+14-3r

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Solution for 9+3r-2=7r+14-3r equation:


Simplifying
9 + 3r + -2 = 7r + 14 + -3r

Reorder the terms:
9 + -2 + 3r = 7r + 14 + -3r

Combine like terms: 9 + -2 = 7
7 + 3r = 7r + 14 + -3r

Reorder the terms:
7 + 3r = 14 + 7r + -3r

Combine like terms: 7r + -3r = 4r
7 + 3r = 14 + 4r

Solving
7 + 3r = 14 + 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.
7 + 3r + -4r = 14 + 4r + -4r

Combine like terms: 3r + -4r = -1r
7 + -1r = 14 + 4r + -4r

Combine like terms: 4r + -4r = 0
7 + -1r = 14 + 0
7 + -1r = 14

Add '-7' to each side of the equation.
7 + -7 + -1r = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 14 + -7
-1r = 14 + -7

Combine like terms: 14 + -7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

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