(9b-5)-4(2b+4)=-7

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Solution for (9b-5)-4(2b+4)=-7 equation:


Simplifying
(9b + -5) + -4(2b + 4) = -7

Reorder the terms:
(-5 + 9b) + -4(2b + 4) = -7

Remove parenthesis around (-5 + 9b)
-5 + 9b + -4(2b + 4) = -7

Reorder the terms:
-5 + 9b + -4(4 + 2b) = -7
-5 + 9b + (4 * -4 + 2b * -4) = -7
-5 + 9b + (-16 + -8b) = -7

Reorder the terms:
-5 + -16 + 9b + -8b = -7

Combine like terms: -5 + -16 = -21
-21 + 9b + -8b = -7

Combine like terms: 9b + -8b = 1b
-21 + 1b = -7

Solving
-21 + 1b = -7

Solving for variable 'b'.

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

Add '21' to each side of the equation.
-21 + 21 + 1b = -7 + 21

Combine like terms: -21 + 21 = 0
0 + 1b = -7 + 21
1b = -7 + 21

Combine like terms: -7 + 21 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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