-6(2r-8)-2=4+3(4-9r)

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Solution for -6(2r-8)-2=4+3(4-9r) equation: 


Simplifying
-6(2r + -8) + -2 = 4 + 3(4 + -9r)

Reorder the terms:
-6(-8 + 2r) + -2 = 4 + 3(4 + -9r)
(-8 * -6 + 2r * -6) + -2 = 4 + 3(4 + -9r)
(48 + -12r) + -2 = 4 + 3(4 + -9r)

Reorder the terms:
48 + -2 + -12r = 4 + 3(4 + -9r)

Combine like terms: 48 + -2 = 46
46 + -12r = 4 + 3(4 + -9r)
46 + -12r = 4 + (4 * 3 + -9r * 3)
46 + -12r = 4 + (12 + -27r)

Combine like terms: 4 + 12 = 16
46 + -12r = 16 + -27r

Solving
46 + -12r = 16 + -27r

Solving for variable 'r'.

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

Add '27r' to each side of the equation.
46 + -12r + 27r = 16 + -27r + 27r

Combine like terms: -12r + 27r = 15r
46 + 15r = 16 + -27r + 27r

Combine like terms: -27r + 27r = 0
46 + 15r = 16 + 0
46 + 15r = 16

Add '-46' to each side of the equation.
46 + -46 + 15r = 16 + -46

Combine like terms: 46 + -46 = 0
0 + 15r = 16 + -46
15r = 16 + -46

Combine like terms: 16 + -46 = -30
15r = -30

Divide each side by '15'.
r = -2

Simplifying
r = -2

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