(28b-1)-9(3b+4)=-5

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Solution for (28b-1)-9(3b+4)=-5 equation:


Simplifying
(28b + -1) + -9(3b + 4) = -5

Reorder the terms:
(-1 + 28b) + -9(3b + 4) = -5

Remove parenthesis around (-1 + 28b)
-1 + 28b + -9(3b + 4) = -5

Reorder the terms:
-1 + 28b + -9(4 + 3b) = -5
-1 + 28b + (4 * -9 + 3b * -9) = -5
-1 + 28b + (-36 + -27b) = -5

Reorder the terms:
-1 + -36 + 28b + -27b = -5

Combine like terms: -1 + -36 = -37
-37 + 28b + -27b = -5

Combine like terms: 28b + -27b = 1b
-37 + 1b = -5

Solving
-37 + 1b = -5

Solving for variable 'b'.

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

Add '37' to each side of the equation.
-37 + 37 + 1b = -5 + 37

Combine like terms: -37 + 37 = 0
0 + 1b = -5 + 37
1b = -5 + 37

Combine like terms: -5 + 37 = 32
1b = 32

Divide each side by '1'.
b = 32

Simplifying
b = 32

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