7b+7(6+8b)=-462

Solution for 7b+7(6+8b)=-462 equation:

Simplifying
7b + 7(6 + 8b) = -462
7b + (6 * 7 + 8b * 7) = -462
7b + (42 + 56b) = -462

Reorder the terms:
42 + 7b + 56b = -462

Combine like terms: 7b + 56b = 63b
42 + 63b = -462

Solving
42 + 63b = -462

Solving for variable 'b'.

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

Add '-42' to each side of the equation.
42 + -42 + 63b = -462 + -42

Combine like terms: 42 + -42 = 0
0 + 63b = -462 + -42
63b = -462 + -42

Combine like terms: -462 + -42 = -504
63b = -504

Divide each side by '63'.
b = -8

Simplifying
b = -8