(28b-2)-9(3b+2)=-5

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Solution for (28b-2)-9(3b+2)=-5 equation:


Simplifying
(28b + -2) + -9(3b + 2) = -5

Reorder the terms:
(-2 + 28b) + -9(3b + 2) = -5

Remove parenthesis around (-2 + 28b)
-2 + 28b + -9(3b + 2) = -5

Reorder the terms:
-2 + 28b + -9(2 + 3b) = -5
-2 + 28b + (2 * -9 + 3b * -9) = -5
-2 + 28b + (-18 + -27b) = -5

Reorder the terms:
-2 + -18 + 28b + -27b = -5

Combine like terms: -2 + -18 = -20
-20 + 28b + -27b = -5

Combine like terms: 28b + -27b = 1b
-20 + 1b = -5

Solving
-20 + 1b = -5

Solving for variable 'b'.

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

Add '20' to each side of the equation.
-20 + 20 + 1b = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 1b = -5 + 20
1b = -5 + 20

Combine like terms: -5 + 20 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15

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