6+r=-8(r+6)

Solution for 6+r=-8(r+6) equation:

Simplifying
6 + r = -8(r + 6)

Reorder the terms:
6 + r = -8(6 + r)
6 + r = (6 * -8 + r * -8)
6 + r = (-48 + -8r)

Solving
6 + r = -48 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
6 + r + 8r = -48 + -8r + 8r

Combine like terms: r + 8r = 9r
6 + 9r = -48 + -8r + 8r

Combine like terms: -8r + 8r = 0
6 + 9r = -48 + 0
6 + 9r = -48

Add '-6' to each side of the equation.
6 + -6 + 9r = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 9r = -48 + -6
9r = -48 + -6

Combine like terms: -48 + -6 = -54
9r = -54

Divide each side by '9'.
r = -6

Simplifying
r = -6