10n=6(n-3)+12

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Solution for 10n=6(n-3)+12 equation:


Simplifying
10n = 6(n + -3) + 12

Reorder the terms:
10n = 6(-3 + n) + 12
10n = (-3 * 6 + n * 6) + 12
10n = (-18 + 6n) + 12

Reorder the terms:
10n = -18 + 12 + 6n

Combine like terms: -18 + 12 = -6
10n = -6 + 6n

Solving
10n = -6 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
10n + -6n = -6 + 6n + -6n

Combine like terms: 10n + -6n = 4n
4n = -6 + 6n + -6n

Combine like terms: 6n + -6n = 0
4n = -6 + 0
4n = -6

Divide each side by '4'.
n = -1.5

Simplifying
n = -1.5

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