n+2.2n+1.8=5.5(n+6.6)

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Solution for n+2.2n+1.8=5.5(n+6.6) equation:


Simplifying
n + 2.2n + 1.8 = 5.5(n + 6.6)

Reorder the terms:
1.8 + n + 2.2n = 5.5(n + 6.6)

Combine like terms: n + 2.2n = 3.2n
1.8 + 3.2n = 5.5(n + 6.6)

Reorder the terms:
1.8 + 3.2n = 5.5(6.6 + n)
1.8 + 3.2n = (6.6 * 5.5 + n * 5.5)
1.8 + 3.2n = (36.3 + 5.5n)

Solving
1.8 + 3.2n = 36.3 + 5.5n

Solving for variable 'n'.

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

Add '-5.5n' to each side of the equation.
1.8 + 3.2n + -5.5n = 36.3 + 5.5n + -5.5n

Combine like terms: 3.2n + -5.5n = -2.3n
1.8 + -2.3n = 36.3 + 5.5n + -5.5n

Combine like terms: 5.5n + -5.5n = 0.0
1.8 + -2.3n = 36.3 + 0.0
1.8 + -2.3n = 36.3

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -2.3n = 36.3 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -2.3n = 36.3 + -1.8
-2.3n = 36.3 + -1.8

Combine like terms: 36.3 + -1.8 = 34.5
-2.3n = 34.5

Divide each side by '-2.3'.
n = -15

Simplifying
n = -15

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