-2n+4(6-n)=(4n+40)

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Solution for -2n+4(6-n)=(4n+40) equation:


Simplifying
-2n + 4(6 + -1n) = (4n + 40)
-2n + (6 * 4 + -1n * 4) = (4n + 40)
-2n + (24 + -4n) = (4n + 40)

Reorder the terms:
24 + -2n + -4n = (4n + 40)

Combine like terms: -2n + -4n = -6n
24 + -6n = (4n + 40)

Reorder the terms:
24 + -6n = (40 + 4n)

Remove parenthesis around (40 + 4n)
24 + -6n = 40 + 4n

Solving
24 + -6n = 40 + 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.
24 + -6n + -4n = 40 + 4n + -4n

Combine like terms: -6n + -4n = -10n
24 + -10n = 40 + 4n + -4n

Combine like terms: 4n + -4n = 0
24 + -10n = 40 + 0
24 + -10n = 40

Add '-24' to each side of the equation.
24 + -24 + -10n = 40 + -24

Combine like terms: 24 + -24 = 0
0 + -10n = 40 + -24
-10n = 40 + -24

Combine like terms: 40 + -24 = 16
-10n = 16

Divide each side by '-10'.
n = -1.6

Simplifying
n = -1.6

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