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

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


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

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

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

Reorder the terms:
-2 + 13b + -4(2 + 3b) = -7
-2 + 13b + (2 * -4 + 3b * -4) = -7
-2 + 13b + (-8 + -12b) = -7

Reorder the terms:
-2 + -8 + 13b + -12b = -7

Combine like terms: -2 + -8 = -10
-10 + 13b + -12b = -7

Combine like terms: 13b + -12b = 1b
-10 + 1b = -7

Solving
-10 + 1b = -7

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -7 + 10
1b = -7 + 10

Combine like terms: -7 + 10 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3

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