3+6(r+1)=-3(r+11)-12

Solution for 3+6(r+1)=-3(r+11)-12 equation:

Simplifying
3 + 6(r + 1) = -3(r + 11) + -12

Reorder the terms:
3 + 6(1 + r) = -3(r + 11) + -12
3 + (1 * 6 + r * 6) = -3(r + 11) + -12
3 + (6 + 6r) = -3(r + 11) + -12

Combine like terms: 3 + 6 = 9
9 + 6r = -3(r + 11) + -12

Reorder the terms:
9 + 6r = -3(11 + r) + -12
9 + 6r = (11 * -3 + r * -3) + -12
9 + 6r = (-33 + -3r) + -12

Reorder the terms:
9 + 6r = -33 + -12 + -3r

Combine like terms: -33 + -12 = -45
9 + 6r = -45 + -3r

Solving
9 + 6r = -45 + -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.
9 + 6r + 3r = -45 + -3r + 3r

Combine like terms: 6r + 3r = 9r
9 + 9r = -45 + -3r + 3r

Combine like terms: -3r + 3r = 0
9 + 9r = -45 + 0
9 + 9r = -45

Add '-9' to each side of the equation.
9 + -9 + 9r = -45 + -9

Combine like terms: 9 + -9 = 0
0 + 9r = -45 + -9
9r = -45 + -9

Combine like terms: -45 + -9 = -54
9r = -54

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

Simplifying
r = -6