-6(3b-5)-3(4b+1)=-2

Solution for -6(3b-5)-3(4b+1)=-2 equation:

Simplifying
-6(3b + -5) + -3(4b + 1) = -2

Reorder the terms:
-6(-5 + 3b) + -3(4b + 1) = -2
(-5 * -6 + 3b * -6) + -3(4b + 1) = -2
(30 + -18b) + -3(4b + 1) = -2

Reorder the terms:
30 + -18b + -3(1 + 4b) = -2
30 + -18b + (1 * -3 + 4b * -3) = -2
30 + -18b + (-3 + -12b) = -2

Reorder the terms:
30 + -3 + -18b + -12b = -2

Combine like terms: 30 + -3 = 27
27 + -18b + -12b = -2

Combine like terms: -18b + -12b = -30b
27 + -30b = -2

Solving
27 + -30b = -2

Solving for variable 'b'.

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

Add '-27' to each side of the equation.
27 + -27 + -30b = -2 + -27

Combine like terms: 27 + -27 = 0
0 + -30b = -2 + -27
-30b = -2 + -27

Combine like terms: -2 + -27 = -29
-30b = -29

Divide each side by '-30'.
b = 0.9666666667

Simplifying
b = 0.9666666667