-5n-5(n+2)=-4n+8

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Solution for -5n-5(n+2)=-4n+8 equation:


Simplifying
-5n + -5(n + 2) = -4n + 8

Reorder the terms:
-5n + -5(2 + n) = -4n + 8
-5n + (2 * -5 + n * -5) = -4n + 8
-5n + (-10 + -5n) = -4n + 8

Reorder the terms:
-10 + -5n + -5n = -4n + 8

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

Reorder the terms:
-10 + -10n = 8 + -4n

Solving
-10 + -10n = 8 + -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.
-10 + -10n + 4n = 8 + -4n + 4n

Combine like terms: -10n + 4n = -6n
-10 + -6n = 8 + -4n + 4n

Combine like terms: -4n + 4n = 0
-10 + -6n = 8 + 0
-10 + -6n = 8

Add '10' to each side of the equation.
-10 + 10 + -6n = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -6n = 8 + 10
-6n = 8 + 10

Combine like terms: 8 + 10 = 18
-6n = 18

Divide each side by '-6'.
n = -3

Simplifying
n = -3

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