-3(b+3)=6b+42

Solution for -3(b+3)=6b+42 equation:

Simplifying
-3(b + 3) = 6b + 42

Reorder the terms:
-3(3 + b) = 6b + 42
(3 * -3 + b * -3) = 6b + 42
(-9 + -3b) = 6b + 42

Reorder the terms:
-9 + -3b = 42 + 6b

Solving
-9 + -3b = 42 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-9 + -3b + -6b = 42 + 6b + -6b

Combine like terms: -3b + -6b = -9b
-9 + -9b = 42 + 6b + -6b

Combine like terms: 6b + -6b = 0
-9 + -9b = 42 + 0
-9 + -9b = 42

Add '9' to each side of the equation.
-9 + 9 + -9b = 42 + 9

Combine like terms: -9 + 9 = 0
0 + -9b = 42 + 9
-9b = 42 + 9

Combine like terms: 42 + 9 = 51
-9b = 51

Divide each side by '-9'.
b = -5.666666667

Simplifying
b = -5.666666667