5-6(2+n)=n-14

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Solution for 5-6(2+n)=n-14 equation:


Simplifying
5 + -6(2 + n) = n + -14
5 + (2 * -6 + n * -6) = n + -14
5 + (-12 + -6n) = n + -14

Combine like terms: 5 + -12 = -7
-7 + -6n = n + -14

Reorder the terms:
-7 + -6n = -14 + n

Solving
-7 + -6n = -14 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-7 + -6n + -1n = -14 + n + -1n

Combine like terms: -6n + -1n = -7n
-7 + -7n = -14 + n + -1n

Combine like terms: n + -1n = 0
-7 + -7n = -14 + 0
-7 + -7n = -14

Add '7' to each side of the equation.
-7 + 7 + -7n = -14 + 7

Combine like terms: -7 + 7 = 0
0 + -7n = -14 + 7
-7n = -14 + 7

Combine like terms: -14 + 7 = -7
-7n = -7

Divide each side by '-7'.
n = 1

Simplifying
n = 1

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