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 = 1r
6 + 1r = 4 + 2r + -2r

Combine like terms: 2r + -2r = 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