5n+9-16+4=5(4n-2n+8)

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Solution for 5n+9-16+4=5(4n-2n+8) equation:


Simplifying
5n + 9 + -16 + 4 = 5(4n + -2n + 8)

Reorder the terms:
9 + -16 + 4 + 5n = 5(4n + -2n + 8)

Combine like terms: 9 + -16 = -7
-7 + 4 + 5n = 5(4n + -2n + 8)

Combine like terms: -7 + 4 = -3
-3 + 5n = 5(4n + -2n + 8)

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

Combine like terms: 4n + -2n = 2n
-3 + 5n = 5(8 + 2n)
-3 + 5n = (8 * 5 + 2n * 5)
-3 + 5n = (40 + 10n)

Solving
-3 + 5n = 40 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-3 + 5n + -10n = 40 + 10n + -10n

Combine like terms: 5n + -10n = -5n
-3 + -5n = 40 + 10n + -10n

Combine like terms: 10n + -10n = 0
-3 + -5n = 40 + 0
-3 + -5n = 40

Add '3' to each side of the equation.
-3 + 3 + -5n = 40 + 3

Combine like terms: -3 + 3 = 0
0 + -5n = 40 + 3
-5n = 40 + 3

Combine like terms: 40 + 3 = 43
-5n = 43

Divide each side by '-5'.
n = -8.6

Simplifying
n = -8.6

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