(33b-7)-8(4b+3)=-6

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Solution for (33b-7)-8(4b+3)=-6 equation:


Simplifying
(33b + -7) + -8(4b + 3) = -6

Reorder the terms:
(-7 + 33b) + -8(4b + 3) = -6

Remove parenthesis around (-7 + 33b)
-7 + 33b + -8(4b + 3) = -6

Reorder the terms:
-7 + 33b + -8(3 + 4b) = -6
-7 + 33b + (3 * -8 + 4b * -8) = -6
-7 + 33b + (-24 + -32b) = -6

Reorder the terms:
-7 + -24 + 33b + -32b = -6

Combine like terms: -7 + -24 = -31
-31 + 33b + -32b = -6

Combine like terms: 33b + -32b = 1b
-31 + 1b = -6

Solving
-31 + 1b = -6

Solving for variable 'b'.

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

Add '31' to each side of the equation.
-31 + 31 + 1b = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 1b = -6 + 31
1b = -6 + 31

Combine like terms: -6 + 31 = 25
1b = 25

Divide each side by '1'.
b = 25

Simplifying
b = 25

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