(13b-4)-4(3b+2)=-6

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Solution for (13b-4)-4(3b+2)=-6 equation:


Simplifying
(13b + -4) + -4(3b + 2) = -6

Reorder the terms:
(-4 + 13b) + -4(3b + 2) = -6

Remove parenthesis around (-4 + 13b)
-4 + 13b + -4(3b + 2) = -6

Reorder the terms:
-4 + 13b + -4(2 + 3b) = -6
-4 + 13b + (2 * -4 + 3b * -4) = -6
-4 + 13b + (-8 + -12b) = -6

Reorder the terms:
-4 + -8 + 13b + -12b = -6

Combine like terms: -4 + -8 = -12
-12 + 13b + -12b = -6

Combine like terms: 13b + -12b = 1b
-12 + 1b = -6

Solving
-12 + 1b = -6

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 = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -6 + 12
1b = -6 + 12

Combine like terms: -6 + 12 = 6
1b = 6

Divide each side by '1'.
b = 6

Simplifying
b = 6

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