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

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

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

Reorder the terms:
4(1 + r) = r + 2(-6 + r)
(1 * 4 + r * 4) = r + 2(-6 + r)
(4 + 4r) = r + 2(-6 + r)
4 + 4r = r + (-6 * 2 + r * 2)
4 + 4r = r + (-12 + 2r)

Reorder the terms:
4 + 4r = -12 + r + 2r

Combine like terms: r + 2r = 3r
4 + 4r = -12 + 3r

Solving
4 + 4r = -12 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
4 + 4r + -3r = -12 + 3r + -3r

Combine like terms: 4r + -3r = 1r
4 + 1r = -12 + 3r + -3r

Combine like terms: 3r + -3r = 0
4 + 1r = -12 + 0
4 + 1r = -12

Add '-4' to each side of the equation.
4 + -4 + 1r = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 1r = -12 + -4
1r = -12 + -4

Combine like terms: -12 + -4 = -16
1r = -16

Divide each side by '1'.
r = -16

Simplifying
r = -16