(33b-5)-8(4b+3)=-7

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Solution for (33b-5)-8(4b+3)=-7 equation:


Simplifying
(33b + -5) + -8(4b + 3) = -7

Reorder the terms:
(-5 + 33b) + -8(4b + 3) = -7

Remove parenthesis around (-5 + 33b)
-5 + 33b + -8(4b + 3) = -7

Reorder the terms:
-5 + 33b + -8(3 + 4b) = -7
-5 + 33b + (3 * -8 + 4b * -8) = -7
-5 + 33b + (-24 + -32b) = -7

Reorder the terms:
-5 + -24 + 33b + -32b = -7

Combine like terms: -5 + -24 = -29
-29 + 33b + -32b = -7

Combine like terms: 33b + -32b = 1b
-29 + 1b = -7

Solving
-29 + 1b = -7

Solving for variable 'b'.

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

Add '29' to each side of the equation.
-29 + 29 + 1b = -7 + 29

Combine like terms: -29 + 29 = 0
0 + 1b = -7 + 29
1b = -7 + 29

Combine like terms: -7 + 29 = 22
1b = 22

Divide each side by '1'.
b = 22

Simplifying
b = 22

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