1.2n+3.7=2.2n-4.5

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Solution for 1.2n+3.7=2.2n-4.5 equation: 


Simplifying
1.2n + 3.7 = 2.2n + -4.5

Reorder the terms:
3.7 + 1.2n = 2.2n + -4.5

Reorder the terms:
3.7 + 1.2n = -4.5 + 2.2n

Solving
3.7 + 1.2n = -4.5 + 2.2n

Solving for variable 'n'.

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

Add '-2.2n' to each side of the equation.
3.7 + 1.2n + -2.2n = -4.5 + 2.2n + -2.2n

Combine like terms: 1.2n + -2.2n = -1n
3.7 + -1n = -4.5 + 2.2n + -2.2n

Combine like terms: 2.2n + -2.2n = 0.0
3.7 + -1n = -4.5 + 0.0
3.7 + -1n = -4.5

Add '-3.7' to each side of the equation.
3.7 + -3.7 + -1n = -4.5 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + -1n = -4.5 + -3.7
-1n = -4.5 + -3.7

Combine like terms: -4.5 + -3.7 = -8.2
-1n = -8.2

Divide each side by '-1'.
n = 8.2

Simplifying
n = 8.2

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