(33b-2)-8(4b+3)=-6

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Solution for (33b-2)-8(4b+3)=-6 equation:


Simplifying
(33b + -2) + -8(4b + 3) = -6

Reorder the terms:
(-2 + 33b) + -8(4b + 3) = -6

Remove parenthesis around (-2 + 33b)
-2 + 33b + -8(4b + 3) = -6

Reorder the terms:
-2 + 33b + -8(3 + 4b) = -6
-2 + 33b + (3 * -8 + 4b * -8) = -6
-2 + 33b + (-24 + -32b) = -6

Reorder the terms:
-2 + -24 + 33b + -32b = -6

Combine like terms: -2 + -24 = -26
-26 + 33b + -32b = -6

Combine like terms: 33b + -32b = 1b
-26 + 1b = -6

Solving
-26 + 1b = -6

Solving for variable 'b'.

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

Add '26' to each side of the equation.
-26 + 26 + 1b = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 1b = -6 + 26
1b = -6 + 26

Combine like terms: -6 + 26 = 20
1b = 20

Divide each side by '1'.
b = 20

Simplifying
b = 20

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