-5(B-7)=-3(3B-4)-15

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Solution for -5(B-7)=-3(3B-4)-15 equation: 


Simplifying
-5(B + -7) = -3(3B + -4) + -15

Reorder the terms:
-5(-7 + B) = -3(3B + -4) + -15
(-7 * -5 + B * -5) = -3(3B + -4) + -15
(35 + -5B) = -3(3B + -4) + -15

Reorder the terms:
35 + -5B = -3(-4 + 3B) + -15
35 + -5B = (-4 * -3 + 3B * -3) + -15
35 + -5B = (12 + -9B) + -15

Reorder the terms:
35 + -5B = 12 + -15 + -9B

Combine like terms: 12 + -15 = -3
35 + -5B = -3 + -9B

Solving
35 + -5B = -3 + -9B

Solving for variable 'B'.

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

Add '9B' to each side of the equation.
35 + -5B + 9B = -3 + -9B + 9B

Combine like terms: -5B + 9B = 4B
35 + 4B = -3 + -9B + 9B

Combine like terms: -9B + 9B = 0
35 + 4B = -3 + 0
35 + 4B = -3

Add '-35' to each side of the equation.
35 + -35 + 4B = -3 + -35

Combine like terms: 35 + -35 = 0
0 + 4B = -3 + -35
4B = -3 + -35

Combine like terms: -3 + -35 = -38
4B = -38

Divide each side by '4'.
B = -9.5

Simplifying
B = -9.5

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