7(n-6)=-24+n

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Solution for 7(n-6)=-24+n equation:


Simplifying
7(n + -6) = -24 + n

Reorder the terms:
7(-6 + n) = -24 + n
(-6 * 7 + n * 7) = -24 + n
(-42 + 7n) = -24 + n

Solving
-42 + 7n = -24 + 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.
-42 + 7n + -1n = -24 + n + -1n

Combine like terms: 7n + -1n = 6n
-42 + 6n = -24 + n + -1n

Combine like terms: n + -1n = 0
-42 + 6n = -24 + 0
-42 + 6n = -24

Add '42' to each side of the equation.
-42 + 42 + 6n = -24 + 42

Combine like terms: -42 + 42 = 0
0 + 6n = -24 + 42
6n = -24 + 42

Combine like terms: -24 + 42 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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