(13b-7)-3(4b+2)=-7

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Solution for (13b-7)-3(4b+2)=-7 equation:


Simplifying
(13b + -7) + -3(4b + 2) = -7

Reorder the terms:
(-7 + 13b) + -3(4b + 2) = -7

Remove parenthesis around (-7 + 13b)
-7 + 13b + -3(4b + 2) = -7

Reorder the terms:
-7 + 13b + -3(2 + 4b) = -7
-7 + 13b + (2 * -3 + 4b * -3) = -7
-7 + 13b + (-6 + -12b) = -7

Reorder the terms:
-7 + -6 + 13b + -12b = -7

Combine like terms: -7 + -6 = -13
-13 + 13b + -12b = -7

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

Solving
-13 + 1b = -7

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -7 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -7 + 13
1b = -7 + 13

Combine like terms: -7 + 13 = 6
1b = 6

Divide each side by '1'.
b = 6

Simplifying
b = 6

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