(15b-2)-7(2b+3)=-5

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Solution for (15b-2)-7(2b+3)=-5 equation:


Simplifying
(15b + -2) + -7(2b + 3) = -5

Reorder the terms:
(-2 + 15b) + -7(2b + 3) = -5

Remove parenthesis around (-2 + 15b)
-2 + 15b + -7(2b + 3) = -5

Reorder the terms:
-2 + 15b + -7(3 + 2b) = -5
-2 + 15b + (3 * -7 + 2b * -7) = -5
-2 + 15b + (-21 + -14b) = -5

Reorder the terms:
-2 + -21 + 15b + -14b = -5

Combine like terms: -2 + -21 = -23
-23 + 15b + -14b = -5

Combine like terms: 15b + -14b = 1b
-23 + 1b = -5

Solving
-23 + 1b = -5

Solving for variable 'b'.

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

Add '23' to each side of the equation.
-23 + 23 + 1b = -5 + 23

Combine like terms: -23 + 23 = 0
0 + 1b = -5 + 23
1b = -5 + 23

Combine like terms: -5 + 23 = 18
1b = 18

Divide each side by '1'.
b = 18

Simplifying
b = 18

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