(28b-7)-9(3b+4)=-2

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Solution for (28b-7)-9(3b+4)=-2 equation:


Simplifying
(28b + -7) + -9(3b + 4) = -2

Reorder the terms:
(-7 + 28b) + -9(3b + 4) = -2

Remove parenthesis around (-7 + 28b)
-7 + 28b + -9(3b + 4) = -2

Reorder the terms:
-7 + 28b + -9(4 + 3b) = -2
-7 + 28b + (4 * -9 + 3b * -9) = -2
-7 + 28b + (-36 + -27b) = -2

Reorder the terms:
-7 + -36 + 28b + -27b = -2

Combine like terms: -7 + -36 = -43
-43 + 28b + -27b = -2

Combine like terms: 28b + -27b = 1b
-43 + 1b = -2

Solving
-43 + 1b = -2

Solving for variable 'b'.

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

Add '43' to each side of the equation.
-43 + 43 + 1b = -2 + 43

Combine like terms: -43 + 43 = 0
0 + 1b = -2 + 43
1b = -2 + 43

Combine like terms: -2 + 43 = 41
1b = 41

Divide each side by '1'.
b = 41

Simplifying
b = 41

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