2(4-2+b)=-3(8b+20)-7

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Solution for 2(4-2+b)=-3(8b+20)-7 equation:


Simplifying
2(4 + -2 + b) = -3(8b + 20) + -7

Combine like terms: 4 + -2 = 2
2(2 + b) = -3(8b + 20) + -7
(2 * 2 + b * 2) = -3(8b + 20) + -7
(4 + 2b) = -3(8b + 20) + -7

Reorder the terms:
4 + 2b = -3(20 + 8b) + -7
4 + 2b = (20 * -3 + 8b * -3) + -7
4 + 2b = (-60 + -24b) + -7

Reorder the terms:
4 + 2b = -60 + -7 + -24b

Combine like terms: -60 + -7 = -67
4 + 2b = -67 + -24b

Solving
4 + 2b = -67 + -24b

Solving for variable 'b'.

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

Add '24b' to each side of the equation.
4 + 2b + 24b = -67 + -24b + 24b

Combine like terms: 2b + 24b = 26b
4 + 26b = -67 + -24b + 24b

Combine like terms: -24b + 24b = 0
4 + 26b = -67 + 0
4 + 26b = -67

Add '-4' to each side of the equation.
4 + -4 + 26b = -67 + -4

Combine like terms: 4 + -4 = 0
0 + 26b = -67 + -4
26b = -67 + -4

Combine like terms: -67 + -4 = -71
26b = -71

Divide each side by '26'.
b = -2.730769231

Simplifying
b = -2.730769231

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