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

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


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

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

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

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

Reorder the terms:
-1 + -9 + 37b + -36b = -5

Combine like terms: -1 + -9 = -10
-10 + 37b + -36b = -5

Combine like terms: 37b + -36b = 1b
-10 + 1b = -5

Solving
-10 + 1b = -5

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 + 1b = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -5 + 10
1b = -5 + 10

Combine like terms: -5 + 10 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5

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