6r+2=3r-1

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Solution for 6r+2=3r-1 equation: 


Simplifying
6r + 2 = 3r + -1

Reorder the terms:
2 + 6r = 3r + -1

Reorder the terms:
2 + 6r = -1 + 3r

Solving
2 + 6r = -1 + 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.
2 + 6r + -3r = -1 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
2 + 3r = -1 + 0
2 + 3r = -1

Add '-2' to each side of the equation.
2 + -2 + 3r = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3r = -1 + -2
3r = -1 + -2

Combine like terms: -1 + -2 = -3
3r = -3

Divide each side by '3'.
r = -1

Simplifying
r = -1

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