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

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


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

Reorder the terms:
3 + 3(-6 + 2r) + -3(4r + 5) + -8 = 0
3 + (-6 * 3 + 2r * 3) + -3(4r + 5) + -8 = 0
3 + (-18 + 6r) + -3(4r + 5) + -8 = 0

Reorder the terms:
3 + -18 + 6r + -3(5 + 4r) + -8 = 0
3 + -18 + 6r + (5 * -3 + 4r * -3) + -8 = 0
3 + -18 + 6r + (-15 + -12r) + -8 = 0

Reorder the terms:
3 + -18 + -15 + -8 + 6r + -12r = 0

Combine like terms: 3 + -18 = -15
-15 + -15 + -8 + 6r + -12r = 0

Combine like terms: -15 + -15 = -30
-30 + -8 + 6r + -12r = 0

Combine like terms: -30 + -8 = -38
-38 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-38 + -6r = 0

Solving
-38 + -6r = 0

Solving for variable 'r'.

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

Add '38' to each side of the equation.
-38 + 38 + -6r = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -6r = 0 + 38
-6r = 0 + 38

Combine like terms: 0 + 38 = 38
-6r = 38

Divide each side by '-6'.
r = -6.333333333

Simplifying
r = -6.333333333

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