-9-4(n+10)=-(n-2)

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Solution for -9-4(n+10)=-(n-2) equation:


Simplifying
-9 + -4(n + 10) = -1(n + -2)

Reorder the terms:
-9 + -4(10 + n) = -1(n + -2)
-9 + (10 * -4 + n * -4) = -1(n + -2)
-9 + (-40 + -4n) = -1(n + -2)

Combine like terms: -9 + -40 = -49
-49 + -4n = -1(n + -2)

Reorder the terms:
-49 + -4n = -1(-2 + n)
-49 + -4n = (-2 * -1 + n * -1)
-49 + -4n = (2 + -1n)

Solving
-49 + -4n = 2 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-49 + -4n + n = 2 + -1n + n

Combine like terms: -4n + n = -3n
-49 + -3n = 2 + -1n + n

Combine like terms: -1n + n = 0
-49 + -3n = 2 + 0
-49 + -3n = 2

Add '49' to each side of the equation.
-49 + 49 + -3n = 2 + 49

Combine like terms: -49 + 49 = 0
0 + -3n = 2 + 49
-3n = 2 + 49

Combine like terms: 2 + 49 = 51
-3n = 51

Divide each side by '-3'.
n = -17

Simplifying
n = -17

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