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

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


Simplifying
6r + -2(2 + -1r) = 3(2r + -4)
6r + (2 * -2 + -1r * -2) = 3(2r + -4)
6r + (-4 + 2r) = 3(2r + -4)

Reorder the terms:
-4 + 6r + 2r = 3(2r + -4)

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

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

Solving
-4 + 8r = -12 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-4 + 8r + -6r = -12 + 6r + -6r

Combine like terms: 8r + -6r = 2r
-4 + 2r = -12 + 6r + -6r

Combine like terms: 6r + -6r = 0
-4 + 2r = -12 + 0
-4 + 2r = -12

Add '4' to each side of the equation.
-4 + 4 + 2r = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 2r = -12 + 4
2r = -12 + 4

Combine like terms: -12 + 4 = -8
2r = -8

Divide each side by '2'.
r = -4

Simplifying
r = -4

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