(37b-2)-9(4b+1)=-3

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Solution for (37b-2)-9(4b+1)=-3 equation:


Simplifying
(37b + -2) + -9(4b + 1) = -3

Reorder the terms:
(-2 + 37b) + -9(4b + 1) = -3

Remove parenthesis around (-2 + 37b)
-2 + 37b + -9(4b + 1) = -3

Reorder the terms:
-2 + 37b + -9(1 + 4b) = -3
-2 + 37b + (1 * -9 + 4b * -9) = -3
-2 + 37b + (-9 + -36b) = -3

Reorder the terms:
-2 + -9 + 37b + -36b = -3

Combine like terms: -2 + -9 = -11
-11 + 37b + -36b = -3

Combine like terms: 37b + -36b = 1b
-11 + 1b = -3

Solving
-11 + 1b = -3

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = -3 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = -3 + 11
1b = -3 + 11

Combine like terms: -3 + 11 = 8
1b = 8

Divide each side by '1'.
b = 8

Simplifying
b = 8

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