(33b-9)-8(4b+1)=-3

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Solution for (33b-9)-8(4b+1)=-3 equation:


Simplifying
(33b + -9) + -8(4b + 1) = -3

Reorder the terms:
(-9 + 33b) + -8(4b + 1) = -3

Remove parenthesis around (-9 + 33b)
-9 + 33b + -8(4b + 1) = -3

Reorder the terms:
-9 + 33b + -8(1 + 4b) = -3
-9 + 33b + (1 * -8 + 4b * -8) = -3
-9 + 33b + (-8 + -32b) = -3

Reorder the terms:
-9 + -8 + 33b + -32b = -3

Combine like terms: -9 + -8 = -17
-17 + 33b + -32b = -3

Combine like terms: 33b + -32b = 1b
-17 + 1b = -3

Solving
-17 + 1b = -3

Solving for variable 'b'.

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

Add '17' to each side of the equation.
-17 + 17 + 1b = -3 + 17

Combine like terms: -17 + 17 = 0
0 + 1b = -3 + 17
1b = -3 + 17

Combine like terms: -3 + 17 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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