(33b-6)-8(4b+1)=-7

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Solution for (33b-6)-8(4b+1)=-7 equation:


Simplifying
(33b + -6) + -8(4b + 1) = -7

Reorder the terms:
(-6 + 33b) + -8(4b + 1) = -7

Remove parenthesis around (-6 + 33b)
-6 + 33b + -8(4b + 1) = -7

Reorder the terms:
-6 + 33b + -8(1 + 4b) = -7
-6 + 33b + (1 * -8 + 4b * -8) = -7
-6 + 33b + (-8 + -32b) = -7

Reorder the terms:
-6 + -8 + 33b + -32b = -7

Combine like terms: -6 + -8 = -14
-14 + 33b + -32b = -7

Combine like terms: 33b + -32b = 1b
-14 + 1b = -7

Solving
-14 + 1b = -7

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -7 + 14
1b = -7 + 14

Combine like terms: -7 + 14 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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