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

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


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

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

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

Reorder the terms:
-4 + 37b + -9(3 + 4b) = -5
-4 + 37b + (3 * -9 + 4b * -9) = -5
-4 + 37b + (-27 + -36b) = -5

Reorder the terms:
-4 + -27 + 37b + -36b = -5

Combine like terms: -4 + -27 = -31
-31 + 37b + -36b = -5

Combine like terms: 37b + -36b = 1b
-31 + 1b = -5

Solving
-31 + 1b = -5

Solving for variable 'b'.

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

Add '31' to each side of the equation.
-31 + 31 + 1b = -5 + 31

Combine like terms: -31 + 31 = 0
0 + 1b = -5 + 31
1b = -5 + 31

Combine like terms: -5 + 31 = 26
1b = 26

Divide each side by '1'.
b = 26

Simplifying
b = 26

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