2(n-2)=-3(n-6)-7

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Solution for 2(n-2)=-3(n-6)-7 equation: 


Simplifying
2(n + -2) = -3(n + -6) + -7

Reorder the terms:
2(-2 + n) = -3(n + -6) + -7
(-2 * 2 + n * 2) = -3(n + -6) + -7
(-4 + 2n) = -3(n + -6) + -7

Reorder the terms:
-4 + 2n = -3(-6 + n) + -7
-4 + 2n = (-6 * -3 + n * -3) + -7
-4 + 2n = (18 + -3n) + -7

Reorder the terms:
-4 + 2n = 18 + -7 + -3n

Combine like terms: 18 + -7 = 11
-4 + 2n = 11 + -3n

Solving
-4 + 2n = 11 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-4 + 2n + 3n = 11 + -3n + 3n

Combine like terms: 2n + 3n = 5n
-4 + 5n = 11 + -3n + 3n

Combine like terms: -3n + 3n = 0
-4 + 5n = 11 + 0
-4 + 5n = 11

Add '4' to each side of the equation.
-4 + 4 + 5n = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 5n = 11 + 4
5n = 11 + 4

Combine like terms: 11 + 4 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3

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