(13b-1)-3(4b+1)=-7

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Solution for (13b-1)-3(4b+1)=-7 equation:


Simplifying
(13b + -1) + -3(4b + 1) = -7

Reorder the terms:
(-1 + 13b) + -3(4b + 1) = -7

Remove parenthesis around (-1 + 13b)
-1 + 13b + -3(4b + 1) = -7

Reorder the terms:
-1 + 13b + -3(1 + 4b) = -7
-1 + 13b + (1 * -3 + 4b * -3) = -7
-1 + 13b + (-3 + -12b) = -7

Reorder the terms:
-1 + -3 + 13b + -12b = -7

Combine like terms: -1 + -3 = -4
-4 + 13b + -12b = -7

Combine like terms: 13b + -12b = 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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