6+3(2r-8)-3(4r+7)-7=

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Solution for 6+3(2r-8)-3(4r+7)-7= equation: 


Simplifying
6 + 3(2r + -8) + -3(4r + 7) + -7 = 0

Reorder the terms:
6 + 3(-8 + 2r) + -3(4r + 7) + -7 = 0
6 + (-8 * 3 + 2r * 3) + -3(4r + 7) + -7 = 0
6 + (-24 + 6r) + -3(4r + 7) + -7 = 0

Reorder the terms:
6 + -24 + 6r + -3(7 + 4r) + -7 = 0
6 + -24 + 6r + (7 * -3 + 4r * -3) + -7 = 0
6 + -24 + 6r + (-21 + -12r) + -7 = 0

Reorder the terms:
6 + -24 + -21 + -7 + 6r + -12r = 0

Combine like terms: 6 + -24 = -18
-18 + -21 + -7 + 6r + -12r = 0

Combine like terms: -18 + -21 = -39
-39 + -7 + 6r + -12r = 0

Combine like terms: -39 + -7 = -46
-46 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-46 + -6r = 0

Solving
-46 + -6r = 0

Solving for variable 'r'.

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

Add '46' to each side of the equation.
-46 + 46 + -6r = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -6r = 0 + 46
-6r = 0 + 46

Combine like terms: 0 + 46 = 46
-6r = 46

Divide each side by '-6'.
r = -7.666666667

Simplifying
r = -7.666666667

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