(28b-7)-9(3b+2)=-6

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Solution for (28b-7)-9(3b+2)=-6 equation:


Simplifying
(28b + -7) + -9(3b + 2) = -6

Reorder the terms:
(-7 + 28b) + -9(3b + 2) = -6

Remove parenthesis around (-7 + 28b)
-7 + 28b + -9(3b + 2) = -6

Reorder the terms:
-7 + 28b + -9(2 + 3b) = -6
-7 + 28b + (2 * -9 + 3b * -9) = -6
-7 + 28b + (-18 + -27b) = -6

Reorder the terms:
-7 + -18 + 28b + -27b = -6

Combine like terms: -7 + -18 = -25
-25 + 28b + -27b = -6

Combine like terms: 28b + -27b = 1b
-25 + 1b = -6

Solving
-25 + 1b = -6

Solving for variable 'b'.

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

Add '25' to each side of the equation.
-25 + 25 + 1b = -6 + 25

Combine like terms: -25 + 25 = 0
0 + 1b = -6 + 25
1b = -6 + 25

Combine like terms: -6 + 25 = 19
1b = 19

Divide each side by '1'.
b = 19

Simplifying
b = 19

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