n+2.3n+3.9=1.8n-8.10

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Solution for n+2.3n+3.9=1.8n-8.10 equation:


Simplifying
n + 2.3n + 3.9 = 1.8n + -8.10

Reorder the terms:
3.9 + n + 2.3n = 1.8n + -8.10

Combine like terms: n + 2.3n = 3.3n
3.9 + 3.3n = 1.8n + -8.10

Reorder the terms:
3.9 + 3.3n = -8.10 + 1.8n

Solving
3.9 + 3.3n = -8.10 + 1.8n

Solving for variable 'n'.

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

Add '-1.8n' to each side of the equation.
3.9 + 3.3n + -1.8n = -8.10 + 1.8n + -1.8n

Combine like terms: 3.3n + -1.8n = 1.5n
3.9 + 1.5n = -8.10 + 1.8n + -1.8n

Combine like terms: 1.8n + -1.8n = 0.0
3.9 + 1.5n = -8.10 + 0.0
3.9 + 1.5n = -8.10

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 1.5n = -8.10 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 1.5n = -8.10 + -3.9
1.5n = -8.10 + -3.9

Combine like terms: -8.10 + -3.9 = -12
1.5n = -12

Divide each side by '1.5'.
n = -8

Simplifying
n = -8

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