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

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


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

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

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

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

Reorder the terms:
-2 + -6 + 5b + -4b = -4

Combine like terms: -2 + -6 = -8
-8 + 5b + -4b = -4

Combine like terms: 5b + -4b = 1b
-8 + 1b = -4

Solving
-8 + 1b = -4

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 = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 1b = -4 + 8
1b = -4 + 8

Combine like terms: -4 + 8 = 4
1b = 4

Divide each side by '1'.
b = 4

Simplifying
b = 4

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