5+3(2r-7)-3(4r+8)-9=

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Solution for 5+3(2r-7)-3(4r+8)-9= equation: 


Simplifying
5 + 3(2r + -7) + -3(4r + 8) + -9 = 0

Reorder the terms:
5 + 3(-7 + 2r) + -3(4r + 8) + -9 = 0
5 + (-7 * 3 + 2r * 3) + -3(4r + 8) + -9 = 0
5 + (-21 + 6r) + -3(4r + 8) + -9 = 0

Reorder the terms:
5 + -21 + 6r + -3(8 + 4r) + -9 = 0
5 + -21 + 6r + (8 * -3 + 4r * -3) + -9 = 0
5 + -21 + 6r + (-24 + -12r) + -9 = 0

Reorder the terms:
5 + -21 + -24 + -9 + 6r + -12r = 0

Combine like terms: 5 + -21 = -16
-16 + -24 + -9 + 6r + -12r = 0

Combine like terms: -16 + -24 = -40
-40 + -9 + 6r + -12r = 0

Combine like terms: -40 + -9 = -49
-49 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-49 + -6r = 0

Solving
-49 + -6r = 0

Solving for variable 'r'.

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

Add '49' to each side of the equation.
-49 + 49 + -6r = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -6r = 0 + 49
-6r = 0 + 49

Combine like terms: 0 + 49 = 49
-6r = 49

Divide each side by '-6'.
r = -8.166666667

Simplifying
r = -8.166666667

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