2(6b+8)=3(2+8b)+4

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Solution for 2(6b+8)=3(2+8b)+4 equation: 


Simplifying
2(6b + 8) = 3(2 + 8b) + 4

Reorder the terms:
2(8 + 6b) = 3(2 + 8b) + 4
(8 * 2 + 6b * 2) = 3(2 + 8b) + 4
(16 + 12b) = 3(2 + 8b) + 4
16 + 12b = (2 * 3 + 8b * 3) + 4
16 + 12b = (6 + 24b) + 4

Reorder the terms:
16 + 12b = 6 + 4 + 24b

Combine like terms: 6 + 4 = 10
16 + 12b = 10 + 24b

Solving
16 + 12b = 10 + 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.
16 + 12b + -24b = 10 + 24b + -24b

Combine like terms: 12b + -24b = -12b
16 + -12b = 10 + 24b + -24b

Combine like terms: 24b + -24b = 0
16 + -12b = 10 + 0
16 + -12b = 10

Add '-16' to each side of the equation.
16 + -16 + -12b = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -12b = 10 + -16
-12b = 10 + -16

Combine like terms: 10 + -16 = -6
-12b = -6

Divide each side by '-12'.
b = 0.5

Simplifying
b = 0.5

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