-2(r-2)=-(2+3r)-8

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Solution for -2(r-2)=-(2+3r)-8 equation: 


Simplifying
-2(r + -2) = -1(2 + 3r) + -8

Reorder the terms:
-2(-2 + r) = -1(2 + 3r) + -8
(-2 * -2 + r * -2) = -1(2 + 3r) + -8
(4 + -2r) = -1(2 + 3r) + -8
4 + -2r = (2 * -1 + 3r * -1) + -8
4 + -2r = (-2 + -3r) + -8

Reorder the terms:
4 + -2r = -2 + -8 + -3r

Combine like terms: -2 + -8 = -10
4 + -2r = -10 + -3r

Solving
4 + -2r = -10 + -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.
4 + -2r + 3r = -10 + -3r + 3r

Combine like terms: -2r + 3r = 1r
4 + 1r = -10 + -3r + 3r

Combine like terms: -3r + 3r = 0
4 + 1r = -10 + 0
4 + 1r = -10

Add '-4' to each side of the equation.
4 + -4 + 1r = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 1r = -10 + -4
1r = -10 + -4

Combine like terms: -10 + -4 = -14
1r = -14

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

Simplifying
r = -14

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