(37b-9)-9(4b+1)=-2

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Solution for (37b-9)-9(4b+1)=-2 equation:


Simplifying
(37b + -9) + -9(4b + 1) = -2

Reorder the terms:
(-9 + 37b) + -9(4b + 1) = -2

Remove parenthesis around (-9 + 37b)
-9 + 37b + -9(4b + 1) = -2

Reorder the terms:
-9 + 37b + -9(1 + 4b) = -2
-9 + 37b + (1 * -9 + 4b * -9) = -2
-9 + 37b + (-9 + -36b) = -2

Reorder the terms:
-9 + -9 + 37b + -36b = -2

Combine like terms: -9 + -9 = -18
-18 + 37b + -36b = -2

Combine like terms: 37b + -36b = 1b
-18 + 1b = -2

Solving
-18 + 1b = -2

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + 1b = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 1b = -2 + 18
1b = -2 + 18

Combine like terms: -2 + 18 = 16
1b = 16

Divide each side by '1'.
b = 16

Simplifying
b = 16

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