5n-6(n-2)=13

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Solution for 5n-6(n-2)=13 equation:


Simplifying
5n + -6(n + -2) = 13

Reorder the terms:
5n + -6(-2 + n) = 13
5n + (-2 * -6 + n * -6) = 13
5n + (12 + -6n) = 13

Reorder the terms:
12 + 5n + -6n = 13

Combine like terms: 5n + -6n = -1n
12 + -1n = 13

Solving
12 + -1n = 13

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + -1n = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 13 + -12
-1n = 13 + -12

Combine like terms: 13 + -12 = 1
-1n = 1

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

Simplifying
n = -1

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