6(.5b+3)+4(12-b)=8.3333333333

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Solution for 6(.5b+3)+4(12-b)=8.3333333333 equation: 


Simplifying
6(0.5b + 3) + 4(12 + -1b) = 8.3333333333

Reorder the terms:
6(3 + 0.5b) + 4(12 + -1b) = 8.3333333333
(3 * 6 + 0.5b * 6) + 4(12 + -1b) = 8.3333333333
(18 + 3b) + 4(12 + -1b) = 8.3333333333
18 + 3b + (12 * 4 + -1b * 4) = 8.3333333333
18 + 3b + (48 + -4b) = 8.3333333333

Reorder the terms:
18 + 48 + 3b + -4b = 8.3333333333

Combine like terms: 18 + 48 = 66
66 + 3b + -4b = 8.3333333333

Combine like terms: 3b + -4b = -1b
66 + -1b = 8.3333333333

Solving
66 + -1b = 8.3333333333

Solving for variable 'b'.

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

Add '-66' to each side of the equation.
66 + -66 + -1b = 8.3333333333 + -66

Combine like terms: 66 + -66 = 0
0 + -1b = 8.3333333333 + -66
-1b = 8.3333333333 + -66

Combine like terms: 8.3333333333 + -66 = -57.6666666667
-1b = -57.6666666667

Divide each side by '-1'.
b = 57.66666667

Simplifying
b = 57.66666667

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