8(b+4)+6(b+4)=42

Solution for 8(b+4)+6(b+4)=42 equation:

Simplifying
8(b + 4) + 6(b + 4) = 42

Reorder the terms:
8(4 + b) + 6(b + 4) = 42
(4 * 8 + b * 8) + 6(b + 4) = 42
(32 + 8b) + 6(b + 4) = 42

Reorder the terms:
32 + 8b + 6(4 + b) = 42
32 + 8b + (4 * 6 + b * 6) = 42
32 + 8b + (24 + 6b) = 42

Reorder the terms:
32 + 24 + 8b + 6b = 42

Combine like terms: 32 + 24 = 56
56 + 8b + 6b = 42

Combine like terms: 8b + 6b = 14b
56 + 14b = 42

Solving
56 + 14b = 42

Solving for variable 'b'.

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

Add '-56' to each side of the equation.
56 + -56 + 14b = 42 + -56

Combine like terms: 56 + -56 = 0
0 + 14b = 42 + -56
14b = 42 + -56

Combine like terms: 42 + -56 = -14
14b = -14

Divide each side by '14'.
b = -1

Simplifying
b = -1