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

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

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

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

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

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

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

Combine like terms: -7 + 16 = 9
9 + 17b + -16b = -6

Combine like terms: 17b + -16b = 1b
9 + 1b = -6

Solving
9 + 1b = -6

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 = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 1b = -6 + -9
1b = -6 + -9

Combine like terms: -6 + -9 = -15
1b = -15

Divide each side by '1'.
b = -15

Simplifying
b = -15