2-3(1+5b)=-76

Solution for 2-3(1+5b)=-76 equation:

Simplifying
2 + -3(1 + 5b) = -76
2 + (1 * -3 + 5b * -3) = -76
2 + (-3 + -15b) = -76

Combine like terms: 2 + -3 = -1
-1 + -15b = -76

Solving
-1 + -15b = -76

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 + -15b = -76 + 1

Combine like terms: -1 + 1 = 0
0 + -15b = -76 + 1
-15b = -76 + 1

Combine like terms: -76 + 1 = -75
-15b = -75

Divide each side by '-15'.
b = 5

Simplifying
b = 5