4+3(2r-6)-3(4r+6)-9=

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Solution for 4+3(2r-6)-3(4r+6)-9= equation: 


Simplifying
4 + 3(2r + -6) + -3(4r + 6) + -9 = 0

Reorder the terms:
4 + 3(-6 + 2r) + -3(4r + 6) + -9 = 0
4 + (-6 * 3 + 2r * 3) + -3(4r + 6) + -9 = 0
4 + (-18 + 6r) + -3(4r + 6) + -9 = 0

Reorder the terms:
4 + -18 + 6r + -3(6 + 4r) + -9 = 0
4 + -18 + 6r + (6 * -3 + 4r * -3) + -9 = 0
4 + -18 + 6r + (-18 + -12r) + -9 = 0

Reorder the terms:
4 + -18 + -18 + -9 + 6r + -12r = 0

Combine like terms: 4 + -18 = -14
-14 + -18 + -9 + 6r + -12r = 0

Combine like terms: -14 + -18 = -32
-32 + -9 + 6r + -12r = 0

Combine like terms: -32 + -9 = -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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