-7(1-4b)=13(2b-3)

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Solution for -7(1-4b)=13(2b-3) equation:


Simplifying
-7(1 + -4b) = 13(2b + -3)
(1 * -7 + -4b * -7) = 13(2b + -3)
(-7 + 28b) = 13(2b + -3)

Reorder the terms:
-7 + 28b = 13(-3 + 2b)
-7 + 28b = (-3 * 13 + 2b * 13)
-7 + 28b = (-39 + 26b)

Solving
-7 + 28b = -39 + 26b

Solving for variable 'b'.

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

Add '-26b' to each side of the equation.
-7 + 28b + -26b = -39 + 26b + -26b

Combine like terms: 28b + -26b = 2b
-7 + 2b = -39 + 26b + -26b

Combine like terms: 26b + -26b = 0
-7 + 2b = -39 + 0
-7 + 2b = -39

Add '7' to each side of the equation.
-7 + 7 + 2b = -39 + 7

Combine like terms: -7 + 7 = 0
0 + 2b = -39 + 7
2b = -39 + 7

Combine like terms: -39 + 7 = -32
2b = -32

Divide each side by '2'.
b = -16

Simplifying
b = -16

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