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

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


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

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

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

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

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

Solving
2 + 2r = -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.
2 + 2r + -8r = -4 + 8r + -8r

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

Combine like terms: 8r + -8r = 0
2 + -6r = -4 + 0
2 + -6r = -4

Add '-2' to each side of the equation.
2 + -2 + -6r = -4 + -2

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

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

Divide each side by '-6'.
r = 1

Simplifying
r = 1

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