n-5.9n-6.5=-.5(n-4.6)

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Solution for n-5.9n-6.5=-.5(n-4.6) equation: 


Simplifying
n + -5.9n + -6.5 = -0.5(n + -4.6)

Reorder the terms:
-6.5 + n + -5.9n = -0.5(n + -4.6)

Combine like terms: n + -5.9n = -4.9n
-6.5 + -4.9n = -0.5(n + -4.6)

Reorder the terms:
-6.5 + -4.9n = -0.5(-4.6 + n)
-6.5 + -4.9n = (-4.6 * -0.5 + n * -0.5)
-6.5 + -4.9n = (2.3 + -0.5n)

Solving
-6.5 + -4.9n = 2.3 + -0.5n

Solving for variable 'n'.

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

Add '0.5n' to each side of the equation.
-6.5 + -4.9n + 0.5n = 2.3 + -0.5n + 0.5n

Combine like terms: -4.9n + 0.5n = -4.4n
-6.5 + -4.4n = 2.3 + -0.5n + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
-6.5 + -4.4n = 2.3 + 0.0
-6.5 + -4.4n = 2.3

Add '6.5' to each side of the equation.
-6.5 + 6.5 + -4.4n = 2.3 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + -4.4n = 2.3 + 6.5
-4.4n = 2.3 + 6.5

Combine like terms: 2.3 + 6.5 = 8.8
-4.4n = 8.8

Divide each side by '-4.4'.
n = -2

Simplifying
n = -2

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