.65(n-2)+.35(n+8)=2.5

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Solution for .65(n-2)+.35(n+8)=2.5 equation: 


Simplifying
0.65(n + -2) + 0.35(n + 8) = 2.5

Reorder the terms:
0.65(-2 + n) + 0.35(n + 8) = 2.5
(-2 * 0.65 + n * 0.65) + 0.35(n + 8) = 2.5
(-1.3 + 0.65n) + 0.35(n + 8) = 2.5

Reorder the terms:
-1.3 + 0.65n + 0.35(8 + n) = 2.5
-1.3 + 0.65n + (8 * 0.35 + n * 0.35) = 2.5
-1.3 + 0.65n + (2.8 + 0.35n) = 2.5

Reorder the terms:
-1.3 + 2.8 + 0.65n + 0.35n = 2.5

Combine like terms: -1.3 + 2.8 = 1.5
1.5 + 0.65n + 0.35n = 2.5

Combine like terms: 0.65n + 0.35n = 1n
1.5 + 1n = 2.5

Solving
1.5 + 1n = 2.5

Solving for variable 'n'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1n = 2.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1n = 2.5 + -1.5
1n = 2.5 + -1.5

Combine like terms: 2.5 + -1.5 = 1
1n = 1

Divide each side by '1'.
n = 1

Simplifying
n = 1

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