5n-6(n-3)=14

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Solution for 5n-6(n-3)=14 equation:


Simplifying
5n + -6(n + -3) = 14

Reorder the terms:
5n + -6(-3 + n) = 14
5n + (-3 * -6 + n * -6) = 14
5n + (18 + -6n) = 14

Reorder the terms:
18 + 5n + -6n = 14

Combine like terms: 5n + -6n = -1n
18 + -1n = 14

Solving
18 + -1n = 14

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 = 14 + -18

Combine like terms: 18 + -18 = 0
0 + -1n = 14 + -18
-1n = 14 + -18

Combine like terms: 14 + -18 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4

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