(7b-8)-3(2b+1)=-4

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Solution for (7b-8)-3(2b+1)=-4 equation:


Simplifying
(7b + -8) + -3(2b + 1) = -4

Reorder the terms:
(-8 + 7b) + -3(2b + 1) = -4

Remove parenthesis around (-8 + 7b)
-8 + 7b + -3(2b + 1) = -4

Reorder the terms:
-8 + 7b + -3(1 + 2b) = -4
-8 + 7b + (1 * -3 + 2b * -3) = -4
-8 + 7b + (-3 + -6b) = -4

Reorder the terms:
-8 + -3 + 7b + -6b = -4

Combine like terms: -8 + -3 = -11
-11 + 7b + -6b = -4

Combine like terms: 7b + -6b = 1b
-11 + 1b = -4

Solving
-11 + 1b = -4

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = -4 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = -4 + 11
1b = -4 + 11

Combine like terms: -4 + 11 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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