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

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

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

Reorder the terms:
4(1 + 2r) = -2(r + 3)
(1 * 4 + 2r * 4) = -2(r + 3)
(4 + 8r) = -2(r + 3)

Reorder the terms:
4 + 8r = -2(3 + r)
4 + 8r = (3 * -2 + r * -2)
4 + 8r = (-6 + -2r)

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

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

Combine like terms: -2r + 2r = 0
4 + 10r = -6 + 0
4 + 10r = -6

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

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

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

Divide each side by '10'.
r = -1

Simplifying
r = -1