(13b-8)-6(2b+4)=-7

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Solution for (13b-8)-6(2b+4)=-7 equation:


Simplifying
(13b + -8) + -6(2b + 4) = -7

Reorder the terms:
(-8 + 13b) + -6(2b + 4) = -7

Remove parenthesis around (-8 + 13b)
-8 + 13b + -6(2b + 4) = -7

Reorder the terms:
-8 + 13b + -6(4 + 2b) = -7
-8 + 13b + (4 * -6 + 2b * -6) = -7
-8 + 13b + (-24 + -12b) = -7

Reorder the terms:
-8 + -24 + 13b + -12b = -7

Combine like terms: -8 + -24 = -32
-32 + 13b + -12b = -7

Combine like terms: 13b + -12b = 1b
-32 + 1b = -7

Solving
-32 + 1b = -7

Solving for variable 'b'.

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

Add '32' to each side of the equation.
-32 + 32 + 1b = -7 + 32

Combine like terms: -32 + 32 = 0
0 + 1b = -7 + 32
1b = -7 + 32

Combine like terms: -7 + 32 = 25
1b = 25

Divide each side by '1'.
b = 25

Simplifying
b = 25

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