7n-6(n-3)=12

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Solution for 7n-6(n-3)=12 equation:


Simplifying
7n + -6(n + -3) = 12

Reorder the terms:
7n + -6(-3 + n) = 12
7n + (-3 * -6 + n * -6) = 12
7n + (18 + -6n) = 12

Reorder the terms:
18 + 7n + -6n = 12

Combine like terms: 7n + -6n = 1n
18 + 1n = 12

Solving
18 + 1n = 12

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + 1n = 12 + -18

Combine like terms: 18 + -18 = 0
0 + 1n = 12 + -18
1n = 12 + -18

Combine like terms: 12 + -18 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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