(15b-9)-7(2b+4)=-7

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Solution for (15b-9)-7(2b+4)=-7 equation:


Simplifying
(15b + -9) + -7(2b + 4) = -7

Reorder the terms:
(-9 + 15b) + -7(2b + 4) = -7

Remove parenthesis around (-9 + 15b)
-9 + 15b + -7(2b + 4) = -7

Reorder the terms:
-9 + 15b + -7(4 + 2b) = -7
-9 + 15b + (4 * -7 + 2b * -7) = -7
-9 + 15b + (-28 + -14b) = -7

Reorder the terms:
-9 + -28 + 15b + -14b = -7

Combine like terms: -9 + -28 = -37
-37 + 15b + -14b = -7

Combine like terms: 15b + -14b = 1b
-37 + 1b = -7

Solving
-37 + 1b = -7

Solving for variable 'b'.

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

Add '37' to each side of the equation.
-37 + 37 + 1b = -7 + 37

Combine like terms: -37 + 37 = 0
0 + 1b = -7 + 37
1b = -7 + 37

Combine like terms: -7 + 37 = 30
1b = 30

Divide each side by '1'.
b = 30

Simplifying
b = 30

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