-6(r+8)+11r=2(4-r)+8

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Solution for -6(r+8)+11r=2(4-r)+8 equation: 


Simplifying
-6(r + 8) + 11r = 2(4 + -1r) + 8

Reorder the terms:
-6(8 + r) + 11r = 2(4 + -1r) + 8
(8 * -6 + r * -6) + 11r = 2(4 + -1r) + 8
(-48 + -6r) + 11r = 2(4 + -1r) + 8

Combine like terms: -6r + 11r = 5r
-48 + 5r = 2(4 + -1r) + 8
-48 + 5r = (4 * 2 + -1r * 2) + 8
-48 + 5r = (8 + -2r) + 8

Reorder the terms:
-48 + 5r = 8 + 8 + -2r

Combine like terms: 8 + 8 = 16
-48 + 5r = 16 + -2r

Solving
-48 + 5r = 16 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
-48 + 5r + 2r = 16 + -2r + 2r

Combine like terms: 5r + 2r = 7r
-48 + 7r = 16 + -2r + 2r

Combine like terms: -2r + 2r = 0
-48 + 7r = 16 + 0
-48 + 7r = 16

Add '48' to each side of the equation.
-48 + 48 + 7r = 16 + 48

Combine like terms: -48 + 48 = 0
0 + 7r = 16 + 48
7r = 16 + 48

Combine like terms: 16 + 48 = 64
7r = 64

Divide each side by '7'.
r = 9.142857143

Simplifying
r = 9.142857143

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