(15b-9)-7(2b+1)=-3

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Solution for (15b-9)-7(2b+1)=-3 equation:


Simplifying
(15b + -9) + -7(2b + 1) = -3

Reorder the terms:
(-9 + 15b) + -7(2b + 1) = -3

Remove parenthesis around (-9 + 15b)
-9 + 15b + -7(2b + 1) = -3

Reorder the terms:
-9 + 15b + -7(1 + 2b) = -3
-9 + 15b + (1 * -7 + 2b * -7) = -3
-9 + 15b + (-7 + -14b) = -3

Reorder the terms:
-9 + -7 + 15b + -14b = -3

Combine like terms: -9 + -7 = -16
-16 + 15b + -14b = -3

Combine like terms: 15b + -14b = 1b
-16 + 1b = -3

Solving
-16 + 1b = -3

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -3 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -3 + 16
1b = -3 + 16

Combine like terms: -3 + 16 = 13
1b = 13

Divide each side by '1'.
b = 13

Simplifying
b = 13

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