6(1+2r)=-2r+4(5+4r)

Solution for 6(1+2r)=-2r+4(5+4r) equation:

Simplifying
6(1 + 2r) = -2r + 4(5 + 4r)
(1 * 6 + 2r * 6) = -2r + 4(5 + 4r)
(6 + 12r) = -2r + 4(5 + 4r)
6 + 12r = -2r + (5 * 4 + 4r * 4)
6 + 12r = -2r + (20 + 16r)

Reorder the terms:
6 + 12r = 20 + -2r + 16r

Combine like terms: -2r + 16r = 14r
6 + 12r = 20 + 14r

Solving
6 + 12r = 20 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
6 + 12r + -14r = 20 + 14r + -14r

Combine like terms: 12r + -14r = -2r
6 + -2r = 20 + 14r + -14r

Combine like terms: 14r + -14r = 0
6 + -2r = 20 + 0
6 + -2r = 20

Add '-6' to each side of the equation.
6 + -6 + -2r = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 20 + -6
-2r = 20 + -6

Combine like terms: 20 + -6 = 14
-2r = 14

Divide each side by '-2'.
r = -7

Simplifying
r = -7