3(h-4)=0.5(24-6h)

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Solution for 3(h-4)=0.5(24-6h) equation:


Simplifying
3(h + -4) = 0.5(24 + -6h)

Reorder the terms:
3(-4 + h) = 0.5(24 + -6h)
(-4 * 3 + h * 3) = 0.5(24 + -6h)
(-12 + 3h) = 0.5(24 + -6h)
-12 + 3h = (24 * 0.5 + -6h * 0.5)
-12 + 3h = (12 + -3h)

Solving
-12 + 3h = 12 + -3h

Solving for variable 'h'.

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

Add '3h' to each side of the equation.
-12 + 3h + 3h = 12 + -3h + 3h

Combine like terms: 3h + 3h = 6h
-12 + 6h = 12 + -3h + 3h

Combine like terms: -3h + 3h = 0
-12 + 6h = 12 + 0
-12 + 6h = 12

Add '12' to each side of the equation.
-12 + 12 + 6h = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 6h = 12 + 12
6h = 12 + 12

Combine like terms: 12 + 12 = 24
6h = 24

Divide each side by '6'.
h = 4

Simplifying
h = 4

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