8(11-2b)=3(4b-22)

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Solution for 8(11-2b)=3(4b-22) equation: 


Simplifying
8(11 + -2b) = 3(4b + -22)
(11 * 8 + -2b * 8) = 3(4b + -22)
(88 + -16b) = 3(4b + -22)

Reorder the terms:
88 + -16b = 3(-22 + 4b)
88 + -16b = (-22 * 3 + 4b * 3)
88 + -16b = (-66 + 12b)

Solving
88 + -16b = -66 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
88 + -16b + -12b = -66 + 12b + -12b

Combine like terms: -16b + -12b = -28b
88 + -28b = -66 + 12b + -12b

Combine like terms: 12b + -12b = 0
88 + -28b = -66 + 0
88 + -28b = -66

Add '-88' to each side of the equation.
88 + -88 + -28b = -66 + -88

Combine like terms: 88 + -88 = 0
0 + -28b = -66 + -88
-28b = -66 + -88

Combine like terms: -66 + -88 = -154
-28b = -154

Divide each side by '-28'.
b = 5.5

Simplifying
b = 5.5

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