6(.5b+3)+4(12-b)=.833

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Solution for 6(.5b+3)+4(12-b)=.833 equation: 


Simplifying
6(0.5b + 3) + 4(12 + -1b) = 0.833

Reorder the terms:
6(3 + 0.5b) + 4(12 + -1b) = 0.833
(3 * 6 + 0.5b * 6) + 4(12 + -1b) = 0.833
(18 + 3b) + 4(12 + -1b) = 0.833
18 + 3b + (12 * 4 + -1b * 4) = 0.833
18 + 3b + (48 + -4b) = 0.833

Reorder the terms:
18 + 48 + 3b + -4b = 0.833

Combine like terms: 18 + 48 = 66
66 + 3b + -4b = 0.833

Combine like terms: 3b + -4b = -1b
66 + -1b = 0.833

Solving
66 + -1b = 0.833

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 = 0.833 + -66

Combine like terms: 66 + -66 = 0
0 + -1b = 0.833 + -66
-1b = 0.833 + -66

Combine like terms: 0.833 + -66 = -65.167
-1b = -65.167

Divide each side by '-1'.
b = 65.167

Simplifying
b = 65.167

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