(28b-5)-9(3b+1)=-2

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Solution for (28b-5)-9(3b+1)=-2 equation:


Simplifying
(28b + -5) + -9(3b + 1) = -2

Reorder the terms:
(-5 + 28b) + -9(3b + 1) = -2

Remove parenthesis around (-5 + 28b)
-5 + 28b + -9(3b + 1) = -2

Reorder the terms:
-5 + 28b + -9(1 + 3b) = -2
-5 + 28b + (1 * -9 + 3b * -9) = -2
-5 + 28b + (-9 + -27b) = -2

Reorder the terms:
-5 + -9 + 28b + -27b = -2

Combine like terms: -5 + -9 = -14
-14 + 28b + -27b = -2

Combine like terms: 28b + -27b = 1b
-14 + 1b = -2

Solving
-14 + 1b = -2

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -2 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -2 + 14
1b = -2 + 14

Combine like terms: -2 + 14 = 12
1b = 12

Divide each side by '1'.
b = 12

Simplifying
b = 12

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