(17b-7)-4(4b+3)=-6

Solution for (17b-7)-4(4b+3)=-6 equation:

Simplifying
(17b + -7) + -4(4b + 3) = -6

Reorder the terms:
(-7 + 17b) + -4(4b + 3) = -6

Remove parenthesis around (-7 + 17b)
-7 + 17b + -4(4b + 3) = -6

Reorder the terms:
-7 + 17b + -4(3 + 4b) = -6
-7 + 17b + (3 * -4 + 4b * -4) = -6
-7 + 17b + (-12 + -16b) = -6

Reorder the terms:
-7 + -12 + 17b + -16b = -6

Combine like terms: -7 + -12 = -19
-19 + 17b + -16b = -6

Combine like terms: 17b + -16b = 1b
-19 + 1b = -6

Solving
-19 + 1b = -6

Solving for variable 'b'.

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

Add '19' to each side of the equation.
-19 + 19 + 1b = -6 + 19

Combine like terms: -19 + 19 = 0
0 + 1b = -6 + 19
1b = -6 + 19

Combine like terms: -6 + 19 = 13
1b = 13

Divide each side by '1'.
b = 13

Simplifying
b = 13