(13b-7)-6(2b+4)=-5

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Solution for (13b-7)-6(2b+4)=-5 equation:


Simplifying
(13b + -7) + -6(2b + 4) = -5

Reorder the terms:
(-7 + 13b) + -6(2b + 4) = -5

Remove parenthesis around (-7 + 13b)
-7 + 13b + -6(2b + 4) = -5

Reorder the terms:
-7 + 13b + -6(4 + 2b) = -5
-7 + 13b + (4 * -6 + 2b * -6) = -5
-7 + 13b + (-24 + -12b) = -5

Reorder the terms:
-7 + -24 + 13b + -12b = -5

Combine like terms: -7 + -24 = -31
-31 + 13b + -12b = -5

Combine like terms: 13b + -12b = 1b
-31 + 1b = -5

Solving
-31 + 1b = -5

Solving for variable 'b'.

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

Add '31' to each side of the equation.
-31 + 31 + 1b = -5 + 31

Combine like terms: -31 + 31 = 0
0 + 1b = -5 + 31
1b = -5 + 31

Combine like terms: -5 + 31 = 26
1b = 26

Divide each side by '1'.
b = 26

Simplifying
b = 26

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