5n+4=3-4(n-2)

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Solution for 5n+4=3-4(n-2) equation:


Simplifying
5n + 4 = 3 + -4(n + -2)

Reorder the terms:
4 + 5n = 3 + -4(n + -2)

Reorder the terms:
4 + 5n = 3 + -4(-2 + n)
4 + 5n = 3 + (-2 * -4 + n * -4)
4 + 5n = 3 + (8 + -4n)

Combine like terms: 3 + 8 = 11
4 + 5n = 11 + -4n

Solving
4 + 5n = 11 + -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.
4 + 5n + 4n = 11 + -4n + 4n

Combine like terms: 5n + 4n = 9n
4 + 9n = 11 + -4n + 4n

Combine like terms: -4n + 4n = 0
4 + 9n = 11 + 0
4 + 9n = 11

Add '-4' to each side of the equation.
4 + -4 + 9n = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 9n = 11 + -4
9n = 11 + -4

Combine like terms: 11 + -4 = 7
9n = 7

Divide each side by '9'.
n = 0.7777777778

Simplifying
n = 0.7777777778

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