n-5.4n+3.2=4(n-3.4)

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Solution for n-5.4n+3.2=4(n-3.4) equation:


Simplifying
n + -5.4n + 3.2 = 4(n + -3.4)

Reorder the terms:
3.2 + n + -5.4n = 4(n + -3.4)

Combine like terms: n + -5.4n = -4.4n
3.2 + -4.4n = 4(n + -3.4)

Reorder the terms:
3.2 + -4.4n = 4(-3.4 + n)
3.2 + -4.4n = (-3.4 * 4 + n * 4)
3.2 + -4.4n = (-13.6 + 4n)

Solving
3.2 + -4.4n = -13.6 + 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.
3.2 + -4.4n + -4n = -13.6 + 4n + -4n

Combine like terms: -4.4n + -4n = -8.4n
3.2 + -8.4n = -13.6 + 4n + -4n

Combine like terms: 4n + -4n = 0
3.2 + -8.4n = -13.6 + 0
3.2 + -8.4n = -13.6

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -8.4n = -13.6 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -8.4n = -13.6 + -3.2
-8.4n = -13.6 + -3.2

Combine like terms: -13.6 + -3.2 = -16.8
-8.4n = -16.8

Divide each side by '-8.4'.
n = 2

Simplifying
n = 2

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