3+6r-1=9r+7-4r

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Solution for 3+6r-1=9r+7-4r equation: 


Simplifying
3 + 6r + -1 = 9r + 7 + -4r

Reorder the terms:
3 + -1 + 6r = 9r + 7 + -4r

Combine like terms: 3 + -1 = 2
2 + 6r = 9r + 7 + -4r

Reorder the terms:
2 + 6r = 7 + 9r + -4r

Combine like terms: 9r + -4r = 5r
2 + 6r = 7 + 5r

Solving
2 + 6r = 7 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2 + 6r + -5r = 7 + 5r + -5r

Combine like terms: 6r + -5r = 1r
2 + 1r = 7 + 5r + -5r

Combine like terms: 5r + -5r = 0
2 + 1r = 7 + 0
2 + 1r = 7

Add '-2' to each side of the equation.
2 + -2 + 1r = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 7 + -2
1r = 7 + -2

Combine like terms: 7 + -2 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5

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