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

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


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

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

Reorder the terms:
6 + -24 + 6r + -3(5 + 4r) + -8 = 0
6 + -24 + 6r + (5 * -3 + 4r * -3) + -8 = 0
6 + -24 + 6r + (-15 + -12r) + -8 = 0

Reorder the terms:
6 + -24 + -15 + -8 + 6r + -12r = 0

Combine like terms: 6 + -24 = -18
-18 + -15 + -8 + 6r + -12r = 0

Combine like terms: -18 + -15 = -33
-33 + -8 + 6r + -12r = 0

Combine like terms: -33 + -8 = -41
-41 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-41 + -6r = 0

Solving
-41 + -6r = 0

Solving for variable 'r'.

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

Add '41' to each side of the equation.
-41 + 41 + -6r = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -6r = 0 + 41
-6r = 0 + 41

Combine like terms: 0 + 41 = 41
-6r = 41

Divide each side by '-6'.
r = -6.833333333

Simplifying
r = -6.833333333

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