7.5n+6=2.5n-2

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Solution for 7.5n+6=2.5n-2 equation:


Simplifying
7.5n + 6 = 2.5n + -2

Reorder the terms:
6 + 7.5n = 2.5n + -2

Reorder the terms:
6 + 7.5n = -2 + 2.5n

Solving
6 + 7.5n = -2 + 2.5n

Solving for variable 'n'.

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

Add '-2.5n' to each side of the equation.
6 + 7.5n + -2.5n = -2 + 2.5n + -2.5n

Combine like terms: 7.5n + -2.5n = 5n
6 + 5n = -2 + 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
6 + 5n = -2 + 0.0
6 + 5n = -2

Add '-6' to each side of the equation.
6 + -6 + 5n = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 5n = -2 + -6
5n = -2 + -6

Combine like terms: -2 + -6 = -8
5n = -8

Divide each side by '5'.
n = -1.6

Simplifying
n = -1.6

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