5.8(3.8n-4.92)=6.5n-26.982

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Solution for 5.8(3.8n-4.92)=6.5n-26.982 equation: 


Simplifying
5.8(3.8n + -4.92) = 6.5n + -26.982

Reorder the terms:
5.8(-4.92 + 3.8n) = 6.5n + -26.982
(-4.92 * 5.8 + 3.8n * 5.8) = 6.5n + -26.982
(-28.536 + 22.04n) = 6.5n + -26.982

Reorder the terms:
-28.536 + 22.04n = -26.982 + 6.5n

Solving
-28.536 + 22.04n = -26.982 + 6.5n

Solving for variable 'n'.

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

Add '-6.5n' to each side of the equation.
-28.536 + 22.04n + -6.5n = -26.982 + 6.5n + -6.5n

Combine like terms: 22.04n + -6.5n = 15.54n
-28.536 + 15.54n = -26.982 + 6.5n + -6.5n

Combine like terms: 6.5n + -6.5n = 0.0
-28.536 + 15.54n = -26.982 + 0.0
-28.536 + 15.54n = -26.982

Add '28.536' to each side of the equation.
-28.536 + 28.536 + 15.54n = -26.982 + 28.536

Combine like terms: -28.536 + 28.536 = 0.000
0.000 + 15.54n = -26.982 + 28.536
15.54n = -26.982 + 28.536

Combine like terms: -26.982 + 28.536 = 1.554
15.54n = 1.554

Divide each side by '15.54'.
n = 0.1

Simplifying
n = 0.1

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