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

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


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

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

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

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

Reorder the terms:
-7 + -9 + 7b + -6b = -6

Combine like terms: -7 + -9 = -16
-16 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-16 + 1b = -6

Solving
-16 + 1b = -6

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -6 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -6 + 16
1b = -6 + 16

Combine like terms: -6 + 16 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10

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