6n=8(3n+7)

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Solution for 6n=8(3n+7) equation:


Simplifying
6n = 8(3n + 7)

Reorder the terms:
6n = 8(7 + 3n)
6n = (7 * 8 + 3n * 8)
6n = (56 + 24n)

Solving
6n = 56 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
6n + -24n = 56 + 24n + -24n

Combine like terms: 6n + -24n = -18n
-18n = 56 + 24n + -24n

Combine like terms: 24n + -24n = 0
-18n = 56 + 0
-18n = 56

Divide each side by '-18'.
n = -3.111111111

Simplifying
n = -3.111111111

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