5(1+b)-6(1-b)=-78

Solution for 5(1+b)-6(1-b)=-78 equation:

Simplifying
5(1 + b) + -6(1 + -1b) = -78
(1 * 5 + b * 5) + -6(1 + -1b) = -78
(5 + 5b) + -6(1 + -1b) = -78
5 + 5b + (1 * -6 + -1b * -6) = -78
5 + 5b + (-6 + 6b) = -78

Reorder the terms:
5 + -6 + 5b + 6b = -78

Combine like terms: 5 + -6 = -1
-1 + 5b + 6b = -78

Combine like terms: 5b + 6b = 11b
-1 + 11b = -78

Solving
-1 + 11b = -78

Solving for variable 'b'.

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

Add '1' to each side of the equation.
-1 + 1 + 11b = -78 + 1

Combine like terms: -1 + 1 = 0
0 + 11b = -78 + 1
11b = -78 + 1

Combine like terms: -78 + 1 = -77
11b = -77

Divide each side by '11'.
b = -7

Simplifying
b = -7