6(r+42)+12=-42

Solution for 6(r+42)+12=-42 equation:

Simplifying
6(r + 42) + 12 = -42

Reorder the terms:
6(42 + r) + 12 = -42
(42 * 6 + r * 6) + 12 = -42
(252 + 6r) + 12 = -42

Reorder the terms:
252 + 12 + 6r = -42

Combine like terms: 252 + 12 = 264
264 + 6r = -42

Solving
264 + 6r = -42

Solving for variable 'r'.

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

Add '-264' to each side of the equation.
264 + -264 + 6r = -42 + -264

Combine like terms: 264 + -264 = 0
0 + 6r = -42 + -264
6r = -42 + -264

Combine like terms: -42 + -264 = -306
6r = -306

Divide each side by '6'.
r = -51

Simplifying
r = -51