(37b-5)-9(4b+4)=-6

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Solution for (37b-5)-9(4b+4)=-6 equation:


Simplifying
(37b + -5) + -9(4b + 4) = -6

Reorder the terms:
(-5 + 37b) + -9(4b + 4) = -6

Remove parenthesis around (-5 + 37b)
-5 + 37b + -9(4b + 4) = -6

Reorder the terms:
-5 + 37b + -9(4 + 4b) = -6
-5 + 37b + (4 * -9 + 4b * -9) = -6
-5 + 37b + (-36 + -36b) = -6

Reorder the terms:
-5 + -36 + 37b + -36b = -6

Combine like terms: -5 + -36 = -41
-41 + 37b + -36b = -6

Combine like terms: 37b + -36b = 1b
-41 + 1b = -6

Solving
-41 + 1b = -6

Solving for variable 'b'.

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

Add '41' to each side of the equation.
-41 + 41 + 1b = -6 + 41

Combine like terms: -41 + 41 = 0
0 + 1b = -6 + 41
1b = -6 + 41

Combine like terms: -6 + 41 = 35
1b = 35

Divide each side by '1'.
b = 35

Simplifying
b = 35

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