6n-(n+7)=4(n-2)-2

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Solution for 6n-(n+7)=4(n-2)-2 equation:


Simplifying
6n + -1(n + 7) = 4(n + -2) + -2

Reorder the terms:
6n + -1(7 + n) = 4(n + -2) + -2
6n + (7 * -1 + n * -1) = 4(n + -2) + -2
6n + (-7 + -1n) = 4(n + -2) + -2

Reorder the terms:
-7 + 6n + -1n = 4(n + -2) + -2

Combine like terms: 6n + -1n = 5n
-7 + 5n = 4(n + -2) + -2

Reorder the terms:
-7 + 5n = 4(-2 + n) + -2
-7 + 5n = (-2 * 4 + n * 4) + -2
-7 + 5n = (-8 + 4n) + -2

Reorder the terms:
-7 + 5n = -8 + -2 + 4n

Combine like terms: -8 + -2 = -10
-7 + 5n = -10 + 4n

Solving
-7 + 5n = -10 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-7 + 5n + -4n = -10 + 4n + -4n

Combine like terms: 5n + -4n = 1n
-7 + 1n = -10 + 4n + -4n

Combine like terms: 4n + -4n = 0
-7 + 1n = -10 + 0
-7 + 1n = -10

Add '7' to each side of the equation.
-7 + 7 + 1n = -10 + 7

Combine like terms: -7 + 7 = 0
0 + 1n = -10 + 7
1n = -10 + 7

Combine like terms: -10 + 7 = -3
1n = -3

Divide each side by '1'.
n = -3

Simplifying
n = -3

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