6.5n+3(4.8-2)=4n-(2.8-7.3)

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Solution for 6.5n+3(4.8-2)=4n-(2.8-7.3) equation: 


Simplifying
6.5n + 3(4.8 + -2) = 4n + -1(2.8 + -7.3)

Combine like terms: 4.8 + -2 = 2.8
6.5n + 3(2.8) = 4n + -1(2.8 + -7.3)

Multiply 3 * 2.8
6.5n + 8.4 = 4n + -1(2.8 + -7.3)

Reorder the terms:
8.4 + 6.5n = 4n + -1(2.8 + -7.3)

Combine like terms: 2.8 + -7.3 = -4.5
8.4 + 6.5n = 4n + -1(-4.5)

Multiply -1 * -4.5
8.4 + 6.5n = 4n + 4.5

Reorder the terms:
8.4 + 6.5n = 4.5 + 4n

Solving
8.4 + 6.5n = 4.5 + 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.
8.4 + 6.5n + -4n = 4.5 + 4n + -4n

Combine like terms: 6.5n + -4n = 2.5n
8.4 + 2.5n = 4.5 + 4n + -4n

Combine like terms: 4n + -4n = 0
8.4 + 2.5n = 4.5 + 0
8.4 + 2.5n = 4.5

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 2.5n = 4.5 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 2.5n = 4.5 + -8.4
2.5n = 4.5 + -8.4

Combine like terms: 4.5 + -8.4 = -3.9
2.5n = -3.9

Divide each side by '2.5'.
n = -1.56

Simplifying
n = -1.56

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