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

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


Simplifying
6(0.5b + 3) + 4(12 + -1b) = 5

Reorder the terms:
6(3 + 0.5b) + 4(12 + -1b) = 5
(3 * 6 + 0.5b * 6) + 4(12 + -1b) = 5
(18 + 3b) + 4(12 + -1b) = 5
18 + 3b + (12 * 4 + -1b * 4) = 5
18 + 3b + (48 + -4b) = 5

Reorder the terms:
18 + 48 + 3b + -4b = 5

Combine like terms: 18 + 48 = 66
66 + 3b + -4b = 5

Combine like terms: 3b + -4b = -1b
66 + -1b = 5

Solving
66 + -1b = 5

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 = 5 + -66

Combine like terms: 66 + -66 = 0
0 + -1b = 5 + -66
-1b = 5 + -66

Combine like terms: 5 + -66 = -61
-1b = -61

Divide each side by '-1'.
b = 61

Simplifying
b = 61

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