0.5(24n-18)=3(6+n)

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Solution for 0.5(24n-18)=3(6+n) equation:


Simplifying
0.5(24n + -18) = 3(6 + n)

Reorder the terms:
0.5(-18 + 24n) = 3(6 + n)
(-18 * 0.5 + 24n * 0.5) = 3(6 + n)
(-9 + 12n) = 3(6 + n)
-9 + 12n = (6 * 3 + n * 3)
-9 + 12n = (18 + 3n)

Solving
-9 + 12n = 18 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-9 + 12n + -3n = 18 + 3n + -3n

Combine like terms: 12n + -3n = 9n
-9 + 9n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
-9 + 9n = 18 + 0
-9 + 9n = 18

Add '9' to each side of the equation.
-9 + 9 + 9n = 18 + 9

Combine like terms: -9 + 9 = 0
0 + 9n = 18 + 9
9n = 18 + 9

Combine like terms: 18 + 9 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3

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