-4(b-6)-3(1-4b)=b+2+1+96

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Solution for -4(b-6)-3(1-4b)=b+2+1+96 equation:


Simplifying
-4(b + -6) + -3(1 + -4b) = b + 2 + 1 + 96

Reorder the terms:
-4(-6 + b) + -3(1 + -4b) = b + 2 + 1 + 96
(-6 * -4 + b * -4) + -3(1 + -4b) = b + 2 + 1 + 96
(24 + -4b) + -3(1 + -4b) = b + 2 + 1 + 96
24 + -4b + (1 * -3 + -4b * -3) = b + 2 + 1 + 96
24 + -4b + (-3 + 12b) = b + 2 + 1 + 96

Reorder the terms:
24 + -3 + -4b + 12b = b + 2 + 1 + 96

Combine like terms: 24 + -3 = 21
21 + -4b + 12b = b + 2 + 1 + 96

Combine like terms: -4b + 12b = 8b
21 + 8b = b + 2 + 1 + 96

Reorder the terms:
21 + 8b = 2 + 1 + 96 + b

Combine like terms: 2 + 1 = 3
21 + 8b = 3 + 96 + b

Combine like terms: 3 + 96 = 99
21 + 8b = 99 + b

Solving
21 + 8b = 99 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
21 + 8b + -1b = 99 + b + -1b

Combine like terms: 8b + -1b = 7b
21 + 7b = 99 + b + -1b

Combine like terms: b + -1b = 0
21 + 7b = 99 + 0
21 + 7b = 99

Add '-21' to each side of the equation.
21 + -21 + 7b = 99 + -21

Combine like terms: 21 + -21 = 0
0 + 7b = 99 + -21
7b = 99 + -21

Combine like terms: 99 + -21 = 78
7b = 78

Divide each side by '7'.
b = 11.14285714

Simplifying
b = 11.14285714

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