6r-4(2-r)=4(2r-1)

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Solution for 6r-4(2-r)=4(2r-1) equation: 


Simplifying
6r + -4(2 + -1r) = 4(2r + -1)
6r + (2 * -4 + -1r * -4) = 4(2r + -1)
6r + (-8 + 4r) = 4(2r + -1)

Reorder the terms:
-8 + 6r + 4r = 4(2r + -1)

Combine like terms: 6r + 4r = 10r
-8 + 10r = 4(2r + -1)

Reorder the terms:
-8 + 10r = 4(-1 + 2r)
-8 + 10r = (-1 * 4 + 2r * 4)
-8 + 10r = (-4 + 8r)

Solving
-8 + 10r = -4 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-8 + 10r + -8r = -4 + 8r + -8r

Combine like terms: 10r + -8r = 2r
-8 + 2r = -4 + 8r + -8r

Combine like terms: 8r + -8r = 0
-8 + 2r = -4 + 0
-8 + 2r = -4

Add '8' to each side of the equation.
-8 + 8 + 2r = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 2r = -4 + 8
2r = -4 + 8

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

Divide each side by '2'.
r = 2

Simplifying
r = 2

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