n+3.1n-4.7=3.6(n-4.5)

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Solution for n+3.1n-4.7=3.6(n-4.5) equation: 


Simplifying
n + 3.1n + -4.7 = 3.6(n + -4.5)

Reorder the terms:
-4.7 + n + 3.1n = 3.6(n + -4.5)

Combine like terms: n + 3.1n = 4.1n
-4.7 + 4.1n = 3.6(n + -4.5)

Reorder the terms:
-4.7 + 4.1n = 3.6(-4.5 + n)
-4.7 + 4.1n = (-4.5 * 3.6 + n * 3.6)
-4.7 + 4.1n = (-16.2 + 3.6n)

Solving
-4.7 + 4.1n = -16.2 + 3.6n

Solving for variable 'n'.

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

Add '-3.6n' to each side of the equation.
-4.7 + 4.1n + -3.6n = -16.2 + 3.6n + -3.6n

Combine like terms: 4.1n + -3.6n = 0.5n
-4.7 + 0.5n = -16.2 + 3.6n + -3.6n

Combine like terms: 3.6n + -3.6n = 0.0
-4.7 + 0.5n = -16.2 + 0.0
-4.7 + 0.5n = -16.2

Add '4.7' to each side of the equation.
-4.7 + 4.7 + 0.5n = -16.2 + 4.7

Combine like terms: -4.7 + 4.7 = 0.0
0.0 + 0.5n = -16.2 + 4.7
0.5n = -16.2 + 4.7

Combine like terms: -16.2 + 4.7 = -11.5
0.5n = -11.5

Divide each side by '0.5'.
n = -23

Simplifying
n = -23

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