3(4b-10)=0.5(-24b+60)

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Solution for 3(4b-10)=0.5(-24b+60) equation: 


Simplifying
3(4b + -10) = 0.5(-24b + 60)

Reorder the terms:
3(-10 + 4b) = 0.5(-24b + 60)
(-10 * 3 + 4b * 3) = 0.5(-24b + 60)
(-30 + 12b) = 0.5(-24b + 60)

Reorder the terms:
-30 + 12b = 0.5(60 + -24b)
-30 + 12b = (60 * 0.5 + -24b * 0.5)
-30 + 12b = (30 + -12b)

Solving
-30 + 12b = 30 + -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.
-30 + 12b + 12b = 30 + -12b + 12b

Combine like terms: 12b + 12b = 24b
-30 + 24b = 30 + -12b + 12b

Combine like terms: -12b + 12b = 0
-30 + 24b = 30 + 0
-30 + 24b = 30

Add '30' to each side of the equation.
-30 + 30 + 24b = 30 + 30

Combine like terms: -30 + 30 = 0
0 + 24b = 30 + 30
24b = 30 + 30

Combine like terms: 30 + 30 = 60
24b = 60

Divide each side by '24'.
b = 2.5

Simplifying
b = 2.5

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