6+6r-5=6r+7-3r

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Solution for 6+6r-5=6r+7-3r equation: 


Simplifying
6 + 6r + -5 = 6r + 7 + -3r

Reorder the terms:
6 + -5 + 6r = 6r + 7 + -3r

Combine like terms: 6 + -5 = 1
1 + 6r = 6r + 7 + -3r

Reorder the terms:
1 + 6r = 7 + 6r + -3r

Combine like terms: 6r + -3r = 3r
1 + 6r = 7 + 3r

Solving
1 + 6r = 7 + 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.
1 + 6r + -3r = 7 + 3r + -3r

Combine like terms: 6r + -3r = 3r
1 + 3r = 7 + 3r + -3r

Combine like terms: 3r + -3r = 0
1 + 3r = 7 + 0
1 + 3r = 7

Add '-1' to each side of the equation.
1 + -1 + 3r = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3r = 7 + -1
3r = 7 + -1

Combine like terms: 7 + -1 = 6
3r = 6

Divide each side by '3'.
r = 2

Simplifying
r = 2

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