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

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

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

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

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

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

Reorder the terms:
-3 + -6 + 19b + -18b = -7

Combine like terms: -3 + -6 = -9
-9 + 19b + -18b = -7

Combine like terms: 19b + -18b = 1b
-9 + 1b = -7

Solving
-9 + 1b = -7

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -7 + 9
1b = -7 + 9

Combine like terms: -7 + 9 = 2
1b = 2

Divide each side by '1'.
b = 2

Simplifying
b = 2