(9b-4)-4(2b+1)=-7

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Solution for (9b-4)-4(2b+1)=-7 equation:


Simplifying
(9b + -4) + -4(2b + 1) = -7

Reorder the terms:
(-4 + 9b) + -4(2b + 1) = -7

Remove parenthesis around (-4 + 9b)
-4 + 9b + -4(2b + 1) = -7

Reorder the terms:
-4 + 9b + -4(1 + 2b) = -7
-4 + 9b + (1 * -4 + 2b * -4) = -7
-4 + 9b + (-4 + -8b) = -7

Reorder the terms:
-4 + -4 + 9b + -8b = -7

Combine like terms: -4 + -4 = -8
-8 + 9b + -8b = -7

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

Solving
-8 + 1b = -7

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 1b = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 1b = -7 + 8
1b = -7 + 8

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

Divide each side by '1'.
b = 1

Simplifying
b = 1

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