21.3n-8.1n+2.2n-28.5=1.6(n+5n)

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Solution for 21.3n-8.1n+2.2n-28.5=1.6(n+5n) equation:


Simplifying
21.3n + -8.1n + 2.2n + -28.5 = 1.6(n + 5n)

Reorder the terms:
-28.5 + 21.3n + -8.1n + 2.2n = 1.6(n + 5n)

Combine like terms: 21.3n + -8.1n = 13.2n
-28.5 + 13.2n + 2.2n = 1.6(n + 5n)

Combine like terms: 13.2n + 2.2n = 15.4n
-28.5 + 15.4n = 1.6(n + 5n)

Combine like terms: n + 5n = 6n
-28.5 + 15.4n = 1.6(6n)

Remove parenthesis around (6n)
-28.5 + 15.4n = 1.6 * 6n

Multiply 1.6 * 6
-28.5 + 15.4n = 9.6n

Solving
-28.5 + 15.4n = 9.6n

Solving for variable 'n'.

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

Add '-9.6n' to each side of the equation.
-28.5 + 15.4n + -9.6n = 9.6n + -9.6n

Combine like terms: 15.4n + -9.6n = 5.8n
-28.5 + 5.8n = 9.6n + -9.6n

Combine like terms: 9.6n + -9.6n = 0.0
-28.5 + 5.8n = 0.0

Add '28.5' to each side of the equation.
-28.5 + 28.5 + 5.8n = 0.0 + 28.5

Combine like terms: -28.5 + 28.5 = 0.0
0.0 + 5.8n = 0.0 + 28.5
5.8n = 0.0 + 28.5

Combine like terms: 0.0 + 28.5 = 28.5
5.8n = 28.5

Divide each side by '5.8'.
n = 4.913793103

Simplifying
n = 4.913793103

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