6(b+5)=-3(6-7)

Solution for 6(b+5)=-3(6-7) equation:

Simplifying
6(b + 5) = -3(6 + -7)

Reorder the terms:
6(5 + b) = -3(6 + -7)
(5 * 6 + b * 6) = -3(6 + -7)
(30 + 6b) = -3(6 + -7)

Combine like terms: 6 + -7 = -1
30 + 6b = -3(-1)

Multiply -3 * -1
30 + 6b = 3

Solving
30 + 6b = 3

Solving for variable 'b'.

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

Add '-30' to each side of the equation.
30 + -30 + 6b = 3 + -30

Combine like terms: 30 + -30 = 0
0 + 6b = 3 + -30
6b = 3 + -30

Combine like terms: 3 + -30 = -27
6b = -27

Divide each side by '6'.
b = -4.5

Simplifying
b = -4.5