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

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


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

Combine like terms: 2r + -8r = -6r
2 + -3(-6r) + -3(4r + -2) + -7 = 0

Remove parenthesis around (-6r)
2 + -3 * -6r + -3(4r + -2) + -7 = 0

Multiply -3 * -6
2 + 18r + -3(4r + -2) + -7 = 0

Reorder the terms:
2 + 18r + -3(-2 + 4r) + -7 = 0
2 + 18r + (-2 * -3 + 4r * -3) + -7 = 0
2 + 18r + (6 + -12r) + -7 = 0

Reorder the terms:
2 + 6 + -7 + 18r + -12r = 0

Combine like terms: 2 + 6 = 8
8 + -7 + 18r + -12r = 0

Combine like terms: 8 + -7 = 1
1 + 18r + -12r = 0

Combine like terms: 18r + -12r = 6r
1 + 6r = 0

Solving
1 + 6r = 0

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 6r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6r = 0 + -1
6r = 0 + -1

Combine like terms: 0 + -1 = -1
6r = -1

Divide each side by '6'.
r = -0.1666666667

Simplifying
r = -0.1666666667

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