6+3(2r-8)-(4r+5)-8=

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Solution for 6+3(2r-8)-(4r+5)-8= equation: 


Simplifying
6 + 3(2r + -8) + -1(4r + 5) + -8 = 0

Reorder the terms:
6 + 3(-8 + 2r) + -1(4r + 5) + -8 = 0
6 + (-8 * 3 + 2r * 3) + -1(4r + 5) + -8 = 0
6 + (-24 + 6r) + -1(4r + 5) + -8 = 0

Reorder the terms:
6 + -24 + 6r + -1(5 + 4r) + -8 = 0
6 + -24 + 6r + (5 * -1 + 4r * -1) + -8 = 0
6 + -24 + 6r + (-5 + -4r) + -8 = 0

Reorder the terms:
6 + -24 + -5 + -8 + 6r + -4r = 0

Combine like terms: 6 + -24 = -18
-18 + -5 + -8 + 6r + -4r = 0

Combine like terms: -18 + -5 = -23
-23 + -8 + 6r + -4r = 0

Combine like terms: -23 + -8 = -31
-31 + 6r + -4r = 0

Combine like terms: 6r + -4r = 2r
-31 + 2r = 0

Solving
-31 + 2r = 0

Solving for variable 'r'.

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

Add '31' to each side of the equation.
-31 + 31 + 2r = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 2r = 0 + 31
2r = 0 + 31

Combine like terms: 0 + 31 = 31
2r = 31

Divide each side by '2'.
r = 15.5

Simplifying
r = 15.5

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