(5b-2)-2(2b+1)=-7

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Solution for (5b-2)-2(2b+1)=-7 equation:


Simplifying
(5b + -2) + -2(2b + 1) = -7

Reorder the terms:
(-2 + 5b) + -2(2b + 1) = -7

Remove parenthesis around (-2 + 5b)
-2 + 5b + -2(2b + 1) = -7

Reorder the terms:
-2 + 5b + -2(1 + 2b) = -7
-2 + 5b + (1 * -2 + 2b * -2) = -7
-2 + 5b + (-2 + -4b) = -7

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

Combine like terms: -2 + -2 = -4
-4 + 5b + -4b = -7

Combine like terms: 5b + -4b = 1b
-4 + 1b = -7

Solving
-4 + 1b = -7

Solving for variable 'b'.

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

Add '4' to each side of the equation.
-4 + 4 + 1b = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1b = -7 + 4
1b = -7 + 4

Combine like terms: -7 + 4 = -3
1b = -3

Divide each side by '1'.
b = -3

Simplifying
b = -3

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