(3b-1)-9(4b+1)=-6

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Solution for (3b-1)-9(4b+1)=-6 equation:


Simplifying
(3b + -1) + -9(4b + 1) = -6

Reorder the terms:
(-1 + 3b) + -9(4b + 1) = -6

Remove parenthesis around (-1 + 3b)
-1 + 3b + -9(4b + 1) = -6

Reorder the terms:
-1 + 3b + -9(1 + 4b) = -6
-1 + 3b + (1 * -9 + 4b * -9) = -6
-1 + 3b + (-9 + -36b) = -6

Reorder the terms:
-1 + -9 + 3b + -36b = -6

Combine like terms: -1 + -9 = -10
-10 + 3b + -36b = -6

Combine like terms: 3b + -36b = -33b
-10 + -33b = -6

Solving
-10 + -33b = -6

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + -33b = -6 + 10

Combine like terms: -10 + 10 = 0
0 + -33b = -6 + 10
-33b = -6 + 10

Combine like terms: -6 + 10 = 4
-33b = 4

Divide each side by '-33'.
b = -0.1212121212

Simplifying
b = -0.1212121212

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