(5b-9)-2(2b+3)=-4

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Solution for (5b-9)-2(2b+3)=-4 equation:


Simplifying
(5b + -9) + -2(2b + 3) = -4

Reorder the terms:
(-9 + 5b) + -2(2b + 3) = -4

Remove parenthesis around (-9 + 5b)
-9 + 5b + -2(2b + 3) = -4

Reorder the terms:
-9 + 5b + -2(3 + 2b) = -4
-9 + 5b + (3 * -2 + 2b * -2) = -4
-9 + 5b + (-6 + -4b) = -4

Reorder the terms:
-9 + -6 + 5b + -4b = -4

Combine like terms: -9 + -6 = -15
-15 + 5b + -4b = -4

Combine like terms: 5b + -4b = 1b
-15 + 1b = -4

Solving
-15 + 1b = -4

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = -4 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = -4 + 15
1b = -4 + 15

Combine like terms: -4 + 15 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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