7n+16=2.5n-2

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Solution for 7n+16=2.5n-2 equation:


Simplifying
7n + 16 = 2.5n + -2

Reorder the terms:
16 + 7n = 2.5n + -2

Reorder the terms:
16 + 7n = -2 + 2.5n

Solving
16 + 7n = -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.
16 + 7n + -2.5n = -2 + 2.5n + -2.5n

Combine like terms: 7n + -2.5n = 4.5n
16 + 4.5n = -2 + 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
16 + 4.5n = -2 + 0.0
16 + 4.5n = -2

Add '-16' to each side of the equation.
16 + -16 + 4.5n = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 4.5n = -2 + -16
4.5n = -2 + -16

Combine like terms: -2 + -16 = -18
4.5n = -18

Divide each side by '4.5'.
n = -4

Simplifying
n = -4

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