-4(-1.6-8.2n)=11.4+33.8n

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Solution for -4(-1.6-8.2n)=11.4+33.8n equation:


Simplifying
-4(-1.6 + -8.2n) = 11.4 + 33.8n
(-1.6 * -4 + -8.2n * -4) = 11.4 + 33.8n
(6.4 + 32.8n) = 11.4 + 33.8n

Solving
6.4 + 32.8n = 11.4 + 33.8n

Solving for variable 'n'.

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

Add '-33.8n' to each side of the equation.
6.4 + 32.8n + -33.8n = 11.4 + 33.8n + -33.8n

Combine like terms: 32.8n + -33.8n = -1n
6.4 + -1n = 11.4 + 33.8n + -33.8n

Combine like terms: 33.8n + -33.8n = 0.0
6.4 + -1n = 11.4 + 0.0
6.4 + -1n = 11.4

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -1n = 11.4 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -1n = 11.4 + -6.4
-1n = 11.4 + -6.4

Combine like terms: 11.4 + -6.4 = 5
-1n = 5

Divide each side by '-1'.
n = -5

Simplifying
n = -5

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