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

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

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

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

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

Solving
-6 + -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.
-6 + -2r + -8r = -4 + 8r + -8r

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

Combine like terms: 8r + -8r = 0
-6 + -10r = -4 + 0
-6 + -10r = -4

Add '6' to each side of the equation.
-6 + 6 + -10r = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -10r = -4 + 6
-10r = -4 + 6

Combine like terms: -4 + 6 = 2
-10r = 2

Divide each side by '-10'.
r = -0.2

Simplifying
r = -0.2