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

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


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

Reorder the terms:
7 + 3(-4 + 2r) + -3(4r + 7) + -8 = 0
7 + (-4 * 3 + 2r * 3) + -3(4r + 7) + -8 = 0
7 + (-12 + 6r) + -3(4r + 7) + -8 = 0

Reorder the terms:
7 + -12 + 6r + -3(7 + 4r) + -8 = 0
7 + -12 + 6r + (7 * -3 + 4r * -3) + -8 = 0
7 + -12 + 6r + (-21 + -12r) + -8 = 0

Reorder the terms:
7 + -12 + -21 + -8 + 6r + -12r = 0

Combine like terms: 7 + -12 = -5
-5 + -21 + -8 + 6r + -12r = 0

Combine like terms: -5 + -21 = -26
-26 + -8 + 6r + -12r = 0

Combine like terms: -26 + -8 = -34
-34 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-34 + -6r = 0

Solving
-34 + -6r = 0

Solving for variable 'r'.

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

Add '34' to each side of the equation.
-34 + 34 + -6r = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -6r = 0 + 34
-6r = 0 + 34

Combine like terms: 0 + 34 = 34
-6r = 34

Divide each side by '-6'.
r = -5.666666667

Simplifying
r = -5.666666667

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