(13b-5)-3(4b+3)=-5

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Solution for (13b-5)-3(4b+3)=-5 equation:


Simplifying
(13b + -5) + -3(4b + 3) = -5

Reorder the terms:
(-5 + 13b) + -3(4b + 3) = -5

Remove parenthesis around (-5 + 13b)
-5 + 13b + -3(4b + 3) = -5

Reorder the terms:
-5 + 13b + -3(3 + 4b) = -5
-5 + 13b + (3 * -3 + 4b * -3) = -5
-5 + 13b + (-9 + -12b) = -5

Reorder the terms:
-5 + -9 + 13b + -12b = -5

Combine like terms: -5 + -9 = -14
-14 + 13b + -12b = -5

Combine like terms: 13b + -12b = 1b
-14 + 1b = -5

Solving
-14 + 1b = -5

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -5 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -5 + 14
1b = -5 + 14

Combine like terms: -5 + 14 = 9
1b = 9

Divide each side by '1'.
b = 9

Simplifying
b = 9

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