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

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


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

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

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

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

Reorder the terms:
-3 + -27 + 37b + -36b = -5

Combine like terms: -3 + -27 = -30
-30 + 37b + -36b = -5

Combine like terms: 37b + -36b = 1b
-30 + 1b = -5

Solving
-30 + 1b = -5

Solving for variable 'b'.

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

Add '30' to each side of the equation.
-30 + 30 + 1b = -5 + 30

Combine like terms: -30 + 30 = 0
0 + 1b = -5 + 30
1b = -5 + 30

Combine like terms: -5 + 30 = 25
1b = 25

Divide each side by '1'.
b = 25

Simplifying
b = 25

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