2r+7+6=3r-1

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Solution for 2r+7+6=3r-1 equation:


Simplifying
2r + 7 + 6 = 3r + -1

Reorder the terms:
7 + 6 + 2r = 3r + -1

Combine like terms: 7 + 6 = 13
13 + 2r = 3r + -1

Reorder the terms:
13 + 2r = -1 + 3r

Solving
13 + 2r = -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.
13 + 2r + -3r = -1 + 3r + -3r

Combine like terms: 2r + -3r = -1r
13 + -1r = -1 + 3r + -3r

Combine like terms: 3r + -3r = 0
13 + -1r = -1 + 0
13 + -1r = -1

Add '-13' to each side of the equation.
13 + -13 + -1r = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -1r = -1 + -13
-1r = -1 + -13

Combine like terms: -1 + -13 = -14
-1r = -14

Divide each side by '-1'.
r = 14

Simplifying
r = 14

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