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

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


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

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

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

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

Reorder the terms:
-7 + -24 + 33b + -32b = -4

Combine like terms: -7 + -24 = -31
-31 + 33b + -32b = -4

Combine like terms: 33b + -32b = 1b
-31 + 1b = -4

Solving
-31 + 1b = -4

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 = -4 + 31

Combine like terms: -31 + 31 = 0
0 + 1b = -4 + 31
1b = -4 + 31

Combine like terms: -4 + 31 = 27
1b = 27

Divide each side by '1'.
b = 27

Simplifying
b = 27

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