4n+2=10n-16

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Solution for 4n+2=10n-16 equation:


Simplifying
4n + 2 = 10n + -16

Reorder the terms:
2 + 4n = 10n + -16

Reorder the terms:
2 + 4n = -16 + 10n

Solving
2 + 4n = -16 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
2 + 4n + -10n = -16 + 10n + -10n

Combine like terms: 4n + -10n = -6n
2 + -6n = -16 + 10n + -10n

Combine like terms: 10n + -10n = 0
2 + -6n = -16 + 0
2 + -6n = -16

Add '-2' to each side of the equation.
2 + -2 + -6n = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6n = -16 + -2
-6n = -16 + -2

Combine like terms: -16 + -2 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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