(28b-5)-9(3b+2)=-7

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Solution for (28b-5)-9(3b+2)=-7 equation:


Simplifying
(28b + -5) + -9(3b + 2) = -7

Reorder the terms:
(-5 + 28b) + -9(3b + 2) = -7

Remove parenthesis around (-5 + 28b)
-5 + 28b + -9(3b + 2) = -7

Reorder the terms:
-5 + 28b + -9(2 + 3b) = -7
-5 + 28b + (2 * -9 + 3b * -9) = -7
-5 + 28b + (-18 + -27b) = -7

Reorder the terms:
-5 + -18 + 28b + -27b = -7

Combine like terms: -5 + -18 = -23
-23 + 28b + -27b = -7

Combine like terms: 28b + -27b = 1b
-23 + 1b = -7

Solving
-23 + 1b = -7

Solving for variable 'b'.

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

Add '23' to each side of the equation.
-23 + 23 + 1b = -7 + 23

Combine like terms: -23 + 23 = 0
0 + 1b = -7 + 23
1b = -7 + 23

Combine like terms: -7 + 23 = 16
1b = 16

Divide each side by '1'.
b = 16

Simplifying
b = 16

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