.5(2n-5)=4n-1

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Solution for .5(2n-5)=4n-1 equation: 


Simplifying
0.5(2n + -5) = 4n + -1

Reorder the terms:
0.5(-5 + 2n) = 4n + -1
(-5 * 0.5 + 2n * 0.5) = 4n + -1
(-2.5 + 1n) = 4n + -1

Reorder the terms:
-2.5 + 1n = -1 + 4n

Solving
-2.5 + 1n = -1 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-2.5 + 1n + -4n = -1 + 4n + -4n

Combine like terms: 1n + -4n = -3n
-2.5 + -3n = -1 + 4n + -4n

Combine like terms: 4n + -4n = 0
-2.5 + -3n = -1 + 0
-2.5 + -3n = -1

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -3n = -1 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -3n = -1 + 2.5
-3n = -1 + 2.5

Combine like terms: -1 + 2.5 = 1.5
-3n = 1.5

Divide each side by '-3'.
n = -0.5

Simplifying
n = -0.5

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