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

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

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

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

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

Solving
6 + 3r = 4 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
6 + 3r + 2r = 4 + -2r + 2r

Combine like terms: 3r + 2r = 5r
6 + 5r = 4 + -2r + 2r

Combine like terms: -2r + 2r = 0
6 + 5r = 4 + 0
6 + 5r = 4

Add '-6' to each side of the equation.
6 + -6 + 5r = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 5r = 4 + -6
5r = 4 + -6

Combine like terms: 4 + -6 = -2
5r = -2

Divide each side by '5'.
r = -0.4

Simplifying
r = -0.4