0.3(2n-5)=11-.65n

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Solution for 0.3(2n-5)=11-.65n equation: 


Simplifying
0.3(2n + -5) = 11 + -0.65n

Reorder the terms:
0.3(-5 + 2n) = 11 + -0.65n
(-5 * 0.3 + 2n * 0.3) = 11 + -0.65n
(-1.5 + 0.6n) = 11 + -0.65n

Solving
-1.5 + 0.6n = 11 + -0.65n

Solving for variable 'n'.

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

Add '0.65n' to each side of the equation.
-1.5 + 0.6n + 0.65n = 11 + -0.65n + 0.65n

Combine like terms: 0.6n + 0.65n = 1.25n
-1.5 + 1.25n = 11 + -0.65n + 0.65n

Combine like terms: -0.65n + 0.65n = 0.00
-1.5 + 1.25n = 11 + 0.00
-1.5 + 1.25n = 11

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.25n = 11 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.25n = 11 + 1.5
1.25n = 11 + 1.5

Combine like terms: 11 + 1.5 = 12.5
1.25n = 12.5

Divide each side by '1.25'.
n = 10

Simplifying
n = 10

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