13r+(-5r)+(-13r)-(-12r)+(-2r)=-10

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Solution for 13r+(-5r)+(-13r)-(-12r)+(-2r)=-10 equation: 


Simplifying
13r + (-5r) + (-13r) + -1(-12r) + (-2r) = -10

Remove parenthesis around (-12r)
13r + (-5r) + (-13r) + -1 * -12r + (-2r) = -10

Multiply -1 * -12
13r + (-5r) + (-13r) + 12r + (-2r) = -10

Combine like terms: 13r + (-5r) = 8r
8r + (-13r) + 12r + (-2r) = -10

Combine like terms: 8r + (-13r) = -5r
-5r + 12r + (-2r) = -10

Combine like terms: -5r + 12r = 7r
7r + (-2r) = -10

Combine like terms: 7r + (-2r) = 5r
5r = -10

Solving
5r = -10

Solving for variable 'r'.

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

Divide each side by '5'.
r = -2

Simplifying
r = -2

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