13-3r+2+6r-2r-1=3+2-7

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Solution for 13-3r+2+6r-2r-1=3+2-7 equation: 


Simplifying
13 + -3r + 2 + 6r + -2r + -1 = 3 + 2 + -7

Reorder the terms:
13 + 2 + -1 + -3r + 6r + -2r = 3 + 2 + -7

Combine like terms: 13 + 2 = 15
15 + -1 + -3r + 6r + -2r = 3 + 2 + -7

Combine like terms: 15 + -1 = 14
14 + -3r + 6r + -2r = 3 + 2 + -7

Combine like terms: -3r + 6r = 3r
14 + 3r + -2r = 3 + 2 + -7

Combine like terms: 3r + -2r = 1r
14 + 1r = 3 + 2 + -7

Combine like terms: 3 + 2 = 5
14 + 1r = 5 + -7

Combine like terms: 5 + -7 = -2
14 + 1r = -2

Solving
14 + 1r = -2

Solving for variable 'r'.

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

Add '-14' to each side of the equation.
14 + -14 + 1r = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 1r = -2 + -14
1r = -2 + -14

Combine like terms: -2 + -14 = -16
1r = -16

Divide each side by '1'.
r = -16

Simplifying
r = -16

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