n+6.5n+0.9=4.5(n-5.8)

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Solution for n+6.5n+0.9=4.5(n-5.8) equation: 


Simplifying
n + 6.5n + 0.9 = 4.5(n + -5.8)

Reorder the terms:
0.9 + n + 6.5n = 4.5(n + -5.8)

Combine like terms: n + 6.5n = 7.5n
0.9 + 7.5n = 4.5(n + -5.8)

Reorder the terms:
0.9 + 7.5n = 4.5(-5.8 + n)
0.9 + 7.5n = (-5.8 * 4.5 + n * 4.5)
0.9 + 7.5n = (-26.1 + 4.5n)

Solving
0.9 + 7.5n = -26.1 + 4.5n

Solving for variable 'n'.

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

Add '-4.5n' to each side of the equation.
0.9 + 7.5n + -4.5n = -26.1 + 4.5n + -4.5n

Combine like terms: 7.5n + -4.5n = 3n
0.9 + 3n = -26.1 + 4.5n + -4.5n

Combine like terms: 4.5n + -4.5n = 0.0
0.9 + 3n = -26.1 + 0.0
0.9 + 3n = -26.1

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 3n = -26.1 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 3n = -26.1 + -0.9
3n = -26.1 + -0.9

Combine like terms: -26.1 + -0.9 = -27
3n = -27

Divide each side by '3'.
n = -9

Simplifying
n = -9

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