-r+2(-r+8)=-5r+2

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Solution for -r+2(-r+8)=-5r+2 equation: 


Simplifying
-1r + 2(-1r + 8) = -5r + 2

Reorder the terms:
-1r + 2(8 + -1r) = -5r + 2
-1r + (8 * 2 + -1r * 2) = -5r + 2
-1r + (16 + -2r) = -5r + 2

Reorder the terms:
16 + -1r + -2r = -5r + 2

Combine like terms: -1r + -2r = -3r
16 + -3r = -5r + 2

Reorder the terms:
16 + -3r = 2 + -5r

Solving
16 + -3r = 2 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
16 + -3r + 5r = 2 + -5r + 5r

Combine like terms: -3r + 5r = 2r
16 + 2r = 2 + -5r + 5r

Combine like terms: -5r + 5r = 0
16 + 2r = 2 + 0
16 + 2r = 2

Add '-16' to each side of the equation.
16 + -16 + 2r = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 2r = 2 + -16
2r = 2 + -16

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

Divide each side by '2'.
r = -7

Simplifying
r = -7

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