(19b-6)-6(3b+1)=-7

Solution for (19b-6)-6(3b+1)=-7 equation:

Simplifying
(19b + -6) + -6(3b + 1) = -7

Reorder the terms:
(-6 + 19b) + -6(3b + 1) = -7

Remove parenthesis around (-6 + 19b)
-6 + 19b + -6(3b + 1) = -7

Reorder the terms:
-6 + 19b + -6(1 + 3b) = -7
-6 + 19b + (1 * -6 + 3b * -6) = -7
-6 + 19b + (-6 + -18b) = -7

Reorder the terms:
-6 + -6 + 19b + -18b = -7

Combine like terms: -6 + -6 = -12
-12 + 19b + -18b = -7

Combine like terms: 19b + -18b = 1b
-12 + 1b = -7

Solving
-12 + 1b = -7

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -7 + 12
1b = -7 + 12

Combine like terms: -7 + 12 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5