-6(7r+7)=42

Solution for -6(7r+7)=42 equation:

Simplifying
-6(7r + 7) = 42

Reorder the terms:
-6(7 + 7r) = 42
(7 * -6 + 7r * -6) = 42
(-42 + -42r) = 42

Solving
-42 + -42r = 42

Solving for variable 'r'.

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

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

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

Combine like terms: 42 + 42 = 84
-42r = 84

Divide each side by '-42'.
r = -2

Simplifying
r = -2