6r-3(2-r)=4(2r-1)

Solution for 6r-3(2-r)=4(2r-1) equation:

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

Reorder the terms:
-6 + 6r + 3r = 4(2r + -1)

Combine like terms: 6r + 3r = 9r
-6 + 9r = 4(2r + -1)

Reorder the terms:
-6 + 9r = 4(-1 + 2r)
-6 + 9r = (-1 * 4 + 2r * 4)
-6 + 9r = (-4 + 8r)

Solving
-6 + 9r = -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.
-6 + 9r + -8r = -4 + 8r + -8r

Combine like terms: 9r + -8r = 1r
-6 + 1r = -4 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + 1r = -4 + 0
-6 + 1r = -4

Add '6' to each side of the equation.
-6 + 6 + 1r = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 1r = -4 + 6
1r = -4 + 6

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

Divide each side by '1'.
r = 2

Simplifying
r = 2