(37b-5)-9(4b+1)=-3

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Solution for (37b-5)-9(4b+1)=-3 equation:


Simplifying
(37b + -5) + -9(4b + 1) = -3

Reorder the terms:
(-5 + 37b) + -9(4b + 1) = -3

Remove parenthesis around (-5 + 37b)
-5 + 37b + -9(4b + 1) = -3

Reorder the terms:
-5 + 37b + -9(1 + 4b) = -3
-5 + 37b + (1 * -9 + 4b * -9) = -3
-5 + 37b + (-9 + -36b) = -3

Reorder the terms:
-5 + -9 + 37b + -36b = -3

Combine like terms: -5 + -9 = -14
-14 + 37b + -36b = -3

Combine like terms: 37b + -36b = 1b
-14 + 1b = -3

Solving
-14 + 1b = -3

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 = -3 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -3 + 14
1b = -3 + 14

Combine like terms: -3 + 14 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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